Update Since October 2021:

Park Hyatt:
Park Hyatt New York
Park Hyatt Washington D.C.
Park Hyatt Chicago

Grand Hyatt:
Grand Hyatt Seattle
Grand Hyatt Nashville
Manchester Grand Hyatt San Diego
Grand Hyatt Atlanta in Buckhead
Grand Hyatt Denver

Hyatt Regency:
Hyatt Regency San Antonio Riverwalk
Hyatt Regency Hill Country Resort (San Antonio)
Hyatt Regency Austin
Hyatt Regency Houston
Hyatt Regency Seattle
Hyatt Regency Dallas
Hyatt Regency Houston Airport (IAH)
Hyatt Regency DFW Airport
Hyatt Regency Frisco - Dallas
Hyatt Regency San Francisco
Hyatt Regency Boston
Hyatt Regency Denver at Colorado Convention Center

Thompson:
Thompson San Antonio
Thompson Dallas
Thompson Savannah
Thompson Hollywood
Thompson Central Park New York

Hyatt Centric:
Hyatt Centric The Woodlands
Hyatt Centric Times Square
Hyatt Centric Portland Downtown
Hyatt Centric Chicago Magnificent Mile
Hyatt Centric Downtown Nashville

The Unbound Collection:
Chicago Athletic Association
The Bellevue Hotel - Philadelphia

JdV by Hyatt:
Hotel 50 Bowery

Update since September:

Destination Hotel Motif Seattle

Grand Hyatt Berlin
Grand Hyatt DFW Airport
Grand Hyatt Santiago, Chile
Grand Hyatt Incheon
Grand Hyatt Tampa Bay
Grand Hyatt Washington DC

Hyatt Centric Arlington

Hyatt House CLT Airport
Hyatt House RDU Airport

Hyatt Place Asheville
Hyatt Place ATL Airport - North
Hyatt Place ATL Airport - South
Hyatt Place Biloxi
Hyatt Place BWI Airport
Hyatt Place CLT Airport - Lake Pointe
Hyatt Place CLT Airport - Tyvola
Hyatt Place Charlotte / Arrowood
Hyatt Place Charlotte University
Hyatt Place Columbus, GA North
Hyatt Place Dallas / Las Colinas
Hyatt Place DEN Airport
Hyatt Place Fresno
Hyatt Place Greensboro
Hyatt Place JAX Airport
Hyatt Place Madison Downtown
Hyatt Place Nashville Airport
Hyatt Place ORD Airport
Hyatt Place Providence Warwick
Hyatt Place Raleigh / Cary
Hyatt Place RDU Airport
Hyatt Place Secaucus / Meadow Lands
Hyatt Place TPA Airport / Westshore
Hyatt Place Tempe

Hyatt Regency Atlanta
Hyatt Regency Austin
Hyatt Regency Bethesda
Hyatt Regency Boston Harbor
Hyatt Regency Cambridge
Hyatt Regency Cincinnati
Hyatt Regency Cleveland at the Arcade
Hyatt Regency Dallas
Hyatt Regency Kansas City
Hyatt Regency Milwaukee
Hyatt Regency New Orleans
Hyatt Regency Orlando Airport
Hyatt Regency Phoenix
Hyatt Regency PIT Airport
Hyatt Regency San Antonio Riverwalk
Hyatt Regency SFO Airport
Hyatt Regency Tulsa

Hyatt Chicago Magnificent Mile
Hyatt Rosemont
Hyatt Seattle at Olive 8

Joie de Vivre: Oakland Waterfront

Park Hyatt Buenos Aires
Park Hyatt Washington DC

Unbound Collection: Ocean Resort and Casino
Unbound Collection: The Eliza Jane
Unbound Collection: The Driskill

(I am likely forgetting a couple)

Park Hyatt - New York
Thompson - Chicago, Dallas
Andaz - Wall Street
Grand Hyatt - DFW, Atlanta Buckhead, Seattle
Hyatt Regency - Tulsa, Wichita, Dallas, Minneapolis, Miami, Baltimore Inner Harbor, Boston - Cambridge, Vancouver, Paris-Etoile, Lake Tahoe, Crystal City (VA), Grand Cypress, Waikiki Beach, Bloomington (MN), New Orleans, Greenville (SC), St. Louis, Tamaya Resort (NM)
Hyatt Centric - New Orleans, Waikiki, Beale Street, Madrid
Hyatt Residence Club - Sedona,
Hyatt House - New Orleans/Downtown, Dallas/Lincoln Park, Dallas/Richardson, Houston/Galleria, Provo
Hyatt Place - Page /Lake Powell (AZ), Bentonville (AR), Fayetteville (AR), Denver Tech Center, Albuquerque/uptown, Tulsa-South, St. Paul, Topeka, Lenexa City Center (KS), Las Vegas at Silverton, Oklahoma City-Northwest, Dallas-North, Dallas-Park Central, Dallas - Arlington, Dallas North Arlington, Memphis, Reno
Other - Resort at Squaw Creek, The Confidante, Hyatt Palm Springs

Alila Vantana Big Sur

Miraval Arizona

Park Hyatt
- Paris
- Milan
- Shanghai
- Siem Reap
- Washington DC

Thompson
- Savannah

Unbound Collection
- Carmel Valley Ranch
- Hotel du Louvre

Andaz
- Munich
- Shanghai
- Napa Valley
- Savannah

Grand Hyatt
- Berlin
- Beijing
- Shanghai
- Taipei
- Bangkok
- Bali
- Incheon
- Kauai
- San Francisco
- SFO
- Washington DC
- Atlanta
- Denver

Hyatt Centric
- Park City
- Miami South Beach

JdV
- Hotel 50 Bowery
- El Capitan

Destination
- Tempe Mission Palms

Hyatt Residence Club
- Sedona

Hyatt Regency
- Paris Etoile
- Cologne
- Mainz
- Thessaloniki
- Dongguan
- Hong Kong
- Tokyo
- Phuket
- Long Beach
- Huntington Beach
- Newport Beach
- Orange County
- John Wayne Airport
- Monterey
- Sonoma County
- SFO
- Seattle
- Denver
- Dallas Downtown
- Houston Downtown
- Indianapolis
- Wichita
- Cleveland
- Baltimore Inner Harbor
- Arlington
- Tysons Corner Center
- Savannah
- Jacksonville
- Clearwater Beach
- MCO (Orlando) Airport

Hyatt House
- San Jose-Silicon Valley
- Belmont-Redwood Shores
- Salt Lake City-Sandy
- Tempe-University
- Nashville Airport

Hyatt Place
- Frankfurt Airport
- Fresno
- Tucson Airport
- Knoxville
- Wilmington
- Richmond Airport
- Richmond Arboretum
- Raleigh North

Also a reminder that if you've been tracking your Hyatt stays, let folks know which was your first...

First Hyatt Stay ....

David

Update Since December 2021:

Park Hyatt:
Park Hyatt New York
Park Hyatt Washington D.C.
Park Hyatt Chicago

Grand Hyatt:
Grand Hyatt Seattle
Grand Hyatt Nashville
Manchester Grand Hyatt San Diego
Grand Hyatt Atlanta in Buckhead
Grand Hyatt Denver
Grand Hyatt San Antonio

Hyatt Regency:
Hyatt Regency San Antonio Riverwalk
Hyatt Regency Hill Country Resort (San Antonio)
Hyatt Regency Austin
Hyatt Regency Houston
Hyatt Regency Seattle
Hyatt Regency Dallas
Hyatt Regency Houston Airport (IAH)
Hyatt Regency DFW Airport
Hyatt Regency Frisco - Dallas
Hyatt Regency San Francisco
Hyatt Regency Boston
Hyatt Regency Denver at Colorado Convention Center

Thompson:
Thompson San Antonio
Thompson Dallas
Thompson Savannah
Thompson Hollywood
Thompson Central Park New York
Thompson Chicago

Hyatt Centric:
Hyatt Centric The Woodlands
Hyatt Centric Times Square
Hyatt Centric Portland Downtown
Hyatt Centric Chicago Magnificent Mile
Hyatt Centric Downtown Nashville
Hyatt Centric Center City Philadelphia

The Unbound Collection:
Chicago Athletic Association
The Bellevue Hotel - Philadelphia
Hotel Kansas City

JdV by Hyatt:
Hotel 50 Bowery

Where is the Hyatt Hotel meet up thread/calendar? I could've sworn there was one here...

This was actually a fun exercise I make it 73 unique hotels, to be honest I thought I had stayed at more Hyatt Places and Hyatt Houses, but it turns out I have just spent a lot of time in a small number of them. I have stuck with the brands as they were at the time:

Park Hyatt
Hyatt Hotel Canberra - a Park Hyatt Hotel
Park Hyatt Philadelphia - at the Bellevue (now The Bellevue Hotel - part of the Unbound Collection)
Park Hyatt Zurich
Park Hyatt Milan
Park Hyatt Saigon
Park Hyatt Sydney

Andaz
Andaz 5th Ave
Andaz Wall Street (Now Hyatt Centric Wall Street)
Andaz West Hollywood
Andaz London Liverpool Street

Grand Hyatt
Grand Hyatt New York (now Hyatt Grand Central New York)
Grand Hyatt Washington
Grand Hyatt Seattle
Grand Hyatt Berlin
Grand Hyatt Singapore
Grand Hyatt Hong Kong
Grand Hyatt Melbourne

Hyatt Regency
Hyatt Regency Toronto
Hyatt Regency Montreal (now a Doubletree)
Hyatt Regency Cambridge
Hyatt Regency Boston
Hyatt Regency Boston Harbor
Hyatt Regency Rochester
Hyatt Regency Newport (now Gurney's Resort Newport)
Hyatt Regency Jersey City on the Hudson
Hyatt Regency Greenwich
Hyatt Regency New Brunswick
Hyatt Regency Princeton
Hyatt Regency Penns Landing (Now Hilton)
Hyatt Regency Fairfax (now a Hilton)
Hyatt Regency Bethesda
Hyatt Regency Crystal City
Hyatt Regency Greenville
Hyatt Regency Savvanah
Hyatt Regency Atlanta
Hyatt Regency Jacksonville
Hyatt Regency Orlando International Airport
Hyatt Regency Grand Cypress Orlando
Hyatt Regency Miami
Hyatt Regency Aruba
Hyatt Regency Cancun (now Krystal Grand Punta Cancun)
Hyatt Regency St Louis at the Arch
Hyatt Regency Chicago
Hyatt Regency Dallas
Hyatt Regency Denver Tech Center
Hyatt Regency Denver
Hyatt Regency Fishermans Wharf (Now a Hyatt Centric)
Hyatt Regency Monterey on Del Monte
Hyatt Regency Orange County
Hyatt Regency London - The Churchill
Hyatt Regency Cologne
Hyatt Regency Auckland (now a Accor Pullman)
Hyatt Regency Sydney Kingsgate (now an apartment building)
Hyatt Regency Brisbane
Hyatt Regency Sanctuary Cove (Now Intercontinental)
Hyatt Regency Adelaide (Now Intercontinental)
Hyatt Regency Coolum (Now a sad sad closed resort with dinosaurs on the golf course)

Hyatt Place
Hyatt Place Sarasota/Malta
Hyatt Place Mystic
Hyatt Place Milford
Hyatt Place Mt Laurel
Hyatt Place Richmond - Arbouretum
Hyatt Place Orlando Universal
Hyatt Place Nashville - Opryland
Hyatt Place Memphis - Primacy Parkway
Hyatt Place Melbourne - Essenden Fields

Hyatt House
Hyatt House Waltham
Hyatt House Boston/Burlington
Hyatt House Emeryville

MGM Resorts
New York New York
Aria
The Mirage
Mandalay Bay

HR Greenville
HH Charlotte Center City
HP New Orleans Convention Center

I stayed in numerous hotel chains when traveling as a kid (yes- I am a hotel nerd), and I noticed that Hyatts tend to have a higher floor in terms of property quality (in terms of their worst properties are usually very nice- even if not fancy) and they have the fastest path to free nights (when you do not factor for sign up bonuses)- especially with the cobranded CC.

All chains have their pros/cons- but HR Greenville is what ultimately made me a Hyatt loyalist (when I am not using discounts for my hotel industry position).

Update Since Dec 2021

Alila Seminyak
Studios at Alila Seminyak
Alila Ubud
Alila Bangsar
Alila Wuzhen

Hyatt Hotel Canberra - A Park Hyatt Hotel
Park Hyatt Hadahaa
Park Hyatt Shanghai
Park Hyatt Sydney
Park Hyatt Melbourne (top 5)
Park Hyatt Ningbo
Park Hyatt Tokyo
Park Hyatt Chennai
Park Hyatt Washington DC

Andaz Tokyo Toranomon Hills
Andaz Singapore (top 5)

Grand Hyatt Kuala Lumpur
Grand Hyatt Singapore (top 5)
Grand Hyatt Erawan Bangkok (top 5)
Grand Hyatt Shanghai
Grand Hyatt Melbourne (top 5)
Grand Hyatt Nusa Dua
Grand Hyatt Hangzhou
Grand Hyatt Seoul
Grand Hyatt Manila

Hyatt Regency Sydney
Hyatt Regency Perth
Hyatt Regency Sanur
Hyatt Regency Tokyo
Hyatt Regency Sha Tin
Hyatt Regency Da Nang
Hyatt Regency Osaka

Hyatt House Kuala Lumpur Mont Kiara

Hyatt Place Bangkok Sukhumvit

Smith's Beach Resort Margaret River (SLH)
Hotel Edison Penang (SLH)

On the TO DO LIST

Park Hyatt Vendome
Park Hyatt Milan
Park Hyatt Vienna
Park Hyatt Auckland
Park Hyatt New York
Park Hyatt Bangkok
Park Hyatt Kyoto
Park Hyatt Moscow
Park Hyatt Jakarta
Park Hyatt Niseko
Park Hyatt Dubai
Park Hyatt Chicago

Alila Kothaifaru Maldives
Alila Uluwatu
Alila Ventana Big Sur
Alila Napa Valley
Alila SCBD Jakarta

Andaz Maui
Andaz Seoul
Andaz Bali

HR:
Sha Tin HKG
DFW
DC Capitol Hill
LAX
SNA
IAH

GH: DC
PH: DC
Thompson: Gild Hall, Dallas
Unbound: Chicago Athletic Association, Bellevue
Alila: Ventana
Destination: The Shay
Residence Club: Hill Country San Antonio
JdV: 50 Bowery
Centric: The Loop Chicago
HYATT: Grand Central

Update Since January 2022:

Park Hyatt:
Park Hyatt New York
Park Hyatt Washington D.C.
Park Hyatt Chicago

Andaz:
Andaz 5th Avenue

Grand Hyatt:
Grand Hyatt Seattle
Grand Hyatt Nashville
Manchester Grand Hyatt San Diego
Grand Hyatt Atlanta in Buckhead
Grand Hyatt Denver
Grand Hyatt San Antonio
Grand Hyatt Washington D.C.

Hyatt Regency:
Hyatt Regency San Antonio Riverwalk
Hyatt Regency Hill Country Resort (San Antonio)
Hyatt Regency Austin
Hyatt Regency Houston
Hyatt Regency Seattle
Hyatt Regency Dallas
Hyatt Regency Houston Airport (IAH)
Hyatt Regency DFW Airport
Hyatt Regency Frisco - Dallas
Hyatt Regency San Francisco
Hyatt Regency Boston
Hyatt Regency Denver at Colorado Convention Center
Hyatt Regency LAX Airport
Hyatt Regency Waikiki

Thompson:
Thompson San Antonio
Thompson Dallas
Thompson Savannah
Thompson Hollywood
Thompson Central Park New York
Thompson Chicago
The Beekman, a Thompson Hotel
Thompson Washington D.C.

Hyatt Centric:
Hyatt Centric The Woodlands
Hyatt Centric Times Square
Hyatt Centric Portland Downtown
Hyatt Centric Chicago Magnificent Mile
Hyatt Centric Downtown Nashville
Hyatt Centric Center City Philadelphia
Hyatt Centric Brickell Miami
Hyatt Centric Midtown 5th Avenue New York
Hyatt Centric Buckhead Atlanta

The Unbound Collection:
Chicago Athletic Association
The Bellevue Hotel - Philadelphia
Hotel Kansas City

JdV by Hyatt:
Hotel 50 Bowery

40 total + 1 new one upcoming. Not counting MGM or SLH properties as they are just partners.

The Driskill (Austin)
50 Bowery (NYC)
Park South (NYC)
Motif (Seattle)

HH Scottsdale (Old Town)
HH Portland (Downtown)

HP Scottsdale (Old Town)
HP LAX (El Segundo)
HP SF (Downtown)
HP Dublin / Pleasanton (CA)
HP Chandler (AZ)
HP Los Cabos

Hyatt Grand Central Station (NYC)
Hyatt Palm Springs

Centric Fisherman's Wharf (SF)
Centric Waikiki
Centric Mountain View (CA)

HR Maui
HR Waikiki
HR San Francisco
HR Tokyo
HR Hong Kong (TST)
HR Huntington Beach
HR Delhi
HR Valencia (CA)
HR Long Beach

Park Central San Francisco (now HR SF Downtown / Soma)

Andaz San Diego
Andaz Wall St, NYC (now Centric)

GH Tokyo
GH Taipei
GH Seoul
GH Hong Kong
GH Erawan (Bangkok)
GH Goa
Manchester GH San Diego

PH Seoul
PH NYC

Ziva Los Cabos
Zilara Cancun

Thompson Playa de Carmen (upcoming)

Been in Reno, Chicago, Fargo, Minnesota
Buffalo, Toronto, Winslow, Sarasota
Wichita, Tulsa, Ottawa, Oklahoma
Tampa, Panama, Mattawa, La Paloma
Bangor, Baltimore, Salvador, Amarillo
Tocopilla, Barranquilla and Padilla
I'm a killer

I've been everywhere, man
I've been everywhere, man
Crossed the deserts bare, man
I've breath the mountain air, man
Travel - I've had my share, man
I've been everywhere

Boston, Charleston, Dayton, Louisiana
Washington, Houston, Kingston, Texarkana
Monterey, Ferriday, Santa Fe, Tallapoosa
Glen Rock, Black Rock, Oskaloosa
Tennessee, Hennessey, Chicopee, Spirit Lake
Grand Lake, Devil's Lake, Crater Lake, for Pete's sake

I've been everywhere, man
I've been everywhere, man
Crossed the deserts bare, man
I've breath the mountain air, man
Travel - I've had my share, man
I've been everywhere

Louisville, Nashville, Knoxville, Ombabika
Shefferville, Jacksonville, Waterville, Costa Rica
Pittsfiels, Springfield, Bakersfield, Shreveport
Hackensack, Cadillac, Fond du Lac, Davenport
Idaho, Jellicoe, Argentina, Damontina
Pasadena, Catalina, see what I mean

I've been everywhere, man
I've been everywhere, man
Crossed the deserts bare, man
I've breath the mountain air, man
Travel - I've had my share, man
I've been everywhere

Pittsburgh, Parkersburg, Gravellburg, Colorado
Ellensburg, Rexburg, Vicksburg, Eldorado
Larrimore, Atmore, Haverstraw, Chattanika
Chaska, Nebraska, Alaska, Opelika
Baraboo, Waterloo, Kalamazoo, Kansas City
Souix City, Cedar City, Dodge City, what a pity

I've been everywhere, man
I've been everywhere, man
Crossed the deserts bare, man
I've breath the mountain air, man
Travel - I've had my share, man

(I know some place you haven't been)
I've been everywhere

I've lost count but more than 120 at this point.

At the 100 mark I got a nice letter from then Gold Passport thanking me with a free night certificate at any property. It was a nice gesture.