Since I'm new to Hyatt, my list is pretty short. There may be more from my past when I didn't care but these are all since beginning of 2015. Let's See:

Hyatt Regency Grand Cypress
Hyatt Place Orlando Convention Center
Hyatt Regency Orlando Airport
Grand Hyatt Tampa
Grand Hyatt Atlanta in Buckhead
Hyatt Regency Pier 66
Hyatt Regency Miami
Hyatt Place Washington DC/Downtown
Hyatt Regency Crystal City

And next month I'll be adding:
Andaz 5th Ave
Park Hyatt New York.

Gosh my list is longer than I thought! Especially considering that these all are from within a 15 month span.

Updating in July 2017:
Hyatt Regency Orlando
Hyatt House New Orleans/Downtown
Hyatt Place Orlando/Universal
Hyatt Place Chesapeake/Greenbrier
Hyatt Regency Jacksonville Riverfront
Hyatt Place Tampa Airport/Westshore
Hyatt House Houston/Energy Corridor
Park Hyatt Maldives Hadahaa
Andaz Tokyo Toranomon Hills
Park Hyatt Tokyo