Adfree Android - requires root, does what it says on the tin (no more ads in free versions of apps etc).
Aevum Obscurum - game, good time waster
Air attack HD - game, awesome fun once you figure out how to play it
AndFTP - FTP client, you probably don't need this
Appbrain - gives you recommendations for apps based on what you already have
Aptoide - market for obtaining paid apps without paying for them
Aptoide repos update - automatically updates aptoide repositories
Astoronomy Picture of the Day - makes APOD your wallpaper. Nerdy. Cool.
Barcode Scanner
Bookmark To Desktop - sends phone url's to your PC and opens them in a browser.
Chess Buddies - game. chess.
Chrome to Phone - sends PC browser page to phone browser via wifi. Look up recipe on PC, Chrome to Phone, cook recipe in kitchen from phone.
Convertpad - converts things to other things. I use for work, most probably don't need it
Cordy - game, a bit gay but kinda awesome
Dropbox - if you use dropbox
EMS - Eset Mobile Security, alternative to Lookout (Eset make great PC antivirus software)
ES file explorer - Same as Astro but looks cooler I think, personal preference
Extended Controls
Google sky map - wicked cool
GPS essentials - I use for work, probably not needed by many
Handcent - good sms replacement
How to tie a tie - good for if you want to tie a different knot than you usually do
Speak Indonesian - Bagus. I use for work.
Juice defender - can help with battery life issues, works better the more useless crap you have!
Knots guide - I use for work and fishing
Lazydroid server - use your phone from your PC (from a browser window I think) Awesome, reply to texts etc without picking up the phone
Our groceries - link it with your girlfriends phone, lists are automatically synced. Never forget the tampons again!
Periodic table - I use for work, cool to have but prob not necessary. Weirdly, this app updates ALL THE TIME! Why? Damn large Hadron collider must be cranking out the new atoms or some shit.
Quadrant - performance tester, good for if you root you phone and overclock
Quickoffice
Google Reader
Realcalc - scientific calc, work.
ringdroid - make ringtones. never used it.
Robo Defence - game. super awesome
Rockplayer? Doubletwist? - you need something to play video. Not sure which is the best. Anyone with a hot tip for vid player?
ROM manager - only if you root and flash custom roms.
Root explorer - root only
Swiftkey X - my favourite keyboard. so good
Tapatalk - browse AM on phone
Teamviewer - if you don't know what it is you don't need it
Telstra usage or something - these are way better than 3g watchdog, because they scrape your actual usage data from Telstra rather than just measuring I/O.
Titanium Backup Pro - definitely 100% get this if you use custom roms. or if you don't
Transdroid - torrents
Urbanspoon - food
WSOP
Winamp - not sure what the best music player is
XBMC remote - if you have XBMC get this.
Pulse newsreader - read news
Evernote - take notes
I have other crap but the above are all worth having a look at.