My list of apps:
File Management: Astro
Game: Base Defense
Home screen widgets: Beautiful Widgets (I have the paid version, but free is still decent)
News: USA Today, CNN, and NPR
Browser: Dolphin Browser HD (until my phone is upgraded to ICS and can use Chrome)
Travel: GasBuddy
Movies: IMDb (Gotta have it so you can look up actors/actress while watching tv/movies on the couch)
Music: Google Music and Pandora (when on Wifi)
GPS: Google Navigation
Shopping List: Out of Milk
Sports: Sportacular
Remote Desktop: TeamView (set it up for always-on for your desktop, then you can remote to it anytime with the app)
Voicemail: Google Voice
TV: If you have Comcast(Xfinity) and have a digital box (not the adapters, but a full digital cable box) you can remote control your box from the Xfinity TV app
Recovery/Safety: Where's My Droid (can locate lost/missing device)
That's pretty much every app on my phone (plus a few other stupid games and the typical crap they pre-install)