I have placed them in categories which are nothing more then the groups I have the various apps in. Those that are essential are pretty much on my home (first) page. I have others but they are not worthy of mentioning .
Essential APPs:
Evernote
Zap2it -What's On? HD (tv listings)
AppStar (this will help get you started)
MegaApp
Pocket (previously Read it later)
Instapaper
Google (apps)
Navigation:
WAZE
GOOGLE EARTH
News:
News Pro (reuters)
The Province
Shopping:
IQ Shopper
CraigsEZPro
Amazon
eBay
Costco
Social Networking:
TextFree iPad
Skype
Google+
Facebook
Yahoo Messenger
Weather:
WeatherEye HD
WeatherBug
WunderMap
Weather Genie
AccuWeather
Audio:
Shazam
SleepStream
HearPlanet (lite)
AmbiSounds
Food:
Yelp
Urbanspoon
Good Food
Games:
Angry Birds (the original to start with but I am hooked and have all series)
Cut the Rope (also hooked on this and have all versions)
Solitaire
Solitaire HD
A Monster Ate my homework
GearsHD
Horoscopes:
Kellie Fox Horoscopes
Instruments:
Virtuoso
DrumsEE
Movies:
Netflix
Imdb
Flixter
RunPee
Reference:
Discover
Wikipanion
WebMD
Number Guru
Relax:
Gaze
Pocket Pond
Gaze HD Beach
Gaze HD lite
Fluid Toy2
Trip Out
Sports:
SportsTap
theScore
TSN
NHL GameCenter (paid)
Timers:
Chronolite
Clock Pro
Nightstand
Clock Free
Travel:
TripAdvisor
FareCompare
Kayak
Tripit
FlightAware
Hipmunk
Negotiator (Priceline)
Video:
Air Video
VLC
Ustream
HGTVToGO
CineXPlayer (paid)
Discovery
Astronomy:
GoSKyWatchPlanetarium
Planets
NASA
SkySafari
Books:
Audible
Kindle
Flipboard
eReader
iBooks
Drawing:
Notability
GoodReader
AppSketcher
Noetbook
iAnnotate PDF
iDraft
handPaint
Health:
Lose It!
Cal Counter
DailyCounts
Language:
Translate
iTranslate
Interpret
myLanguage
Podcasts:
iCatcher (paid)
Podcasts
Utilities:
iHandy Level
iCatchall
Pad Info
myConvert
System
RSS Reader:
Reader (paid)
Feedly
IT Utilities:
Process Killer
FreeMemory
Ping
WifiTrak
Speed Test
Wi-Fi Finder
Go Daddy
Dropbox
Skydrive
CloudOn
DisplayPad
IP Ports
Monitor