Some items I've noticed to comment on:
--I like how it welcomes me by name if cookies have me already signed in..."Where would you like to fly, <name>? When I'm not signed in, it remembers the last origin city I did a search from. So if I last searched MKE-LGA, when the "Where would you like to fly?" box, if I type Boston it autofills MKE-BOS. For me, personally, it doesn't really do much because I'm checking all sorts of routes all sorts of directions. But to the average consumer who usually is pricing from "home", it is a benefit.
--Back buttons...at least in many circumstances...now seem to retain information. I like that a **lot**. The week-at-a-time search which the F9 site has had for awhile is nice (and better than what YX had) but the legacy F9 site blanks everything out, which makes it a pain to search alternate airports or "a week later" kind of alternate day searches. If you wanted to check the fare difference flying MSN-PHX versus MKE-PHX, or DEN-TPA versus DEN-MCO, you had to start completely over. The back button retaining information is a little thing but cuts down on frustration.
--The new splash screen does not have the ability to search one way -- you must choose other search options. Not a bazillion people price one-way trips, but it would be nice to have a "one way" button on the first page like most sites (including the "old" Frontier site) have.
--I like the "hover over" icons in flight search results that say things like "Stretch Seating / DIRECTv"
--The boxes where you type in the name of the origin and destination airports seems to work well -- it readily accpets names or codes, or brings up a popup of all cities available to choose from. This is similar to what WN has but IMHO it works a little better than theirs, and the responsivness seems better than the legacy F9 site. On the legacy F9 sice I have troubles typing too fast where I'll type MKE and tab over to the next box, but it didn't "think" enough to recognize MKE as Milwaukee before I tabbed to a different field, so it won't search unless I go back and rekey.
--The flight status search has similar boxes if you want to search by city, but it does not accept what you try to key in. It seem like it should but it fights you, so you must select from the popup list. That seems like a coding bug which is stopping something intended to work.
--When you check in, the default is to check in using reservation code (ZVOTTU for example) and to use FF number, credit card, or e-ticket number you have to click over to the legacy check-in screens. It would be nice if you could choose any option. The FF number is a number which never changes, and you can even save it in cookies (as I do) to make check in speedy. And if I don't have it handy and am using a different computer (like using the computer at a hotel to print a boarding pass) I use credit card number. It's always handy in my wallet. The confirmation code is a random six-letter code that changes with every flight.
--I really like the new flight search -- not specifically the search-and-price feature, but the flight search in the schedule section. To be honest I really miss the desktop flight tool and the PDF flight schedule...I suppose it was a matter of cost versus usage. But especially without those tools, checking flight schedules on the legacy F9 site is a little clunky if you're using it look up more than one or two flights. The new one is much slicker for my needs, at least.
--The new site definitely works better in Firefox, but at least in my opinion isn't bad in IE. The WN site is nearly unworkable in IE sometimes.
One additional thing which I *think* is not a change with the new F9 refreshed site, but is an issue anyway. When I have a same-day return, the online site won't let me check in for the return leg. Tried doing it many ways but it just won't do it. The kiosks do -- when you check in for your first flights, it will see that you have another flight within 24 hours and ask if you'd like to check in for that flight as well. Again, I don't think this is new in the fresh, however.
That's what I have for now. The front page will take a bit of time to get used to for somebody like me who goes there tons....simplly because it is change. But so far I'm relatively happy with what I'm seeing, given that it is a "refresh".