Hi @enigmatic1500, this is going to be a long list but I would keep it as short as possible. There are thousands of applications specially made for the iPad, but these are just a few of the most common ones. Some are free to download while other can be obtained from $1 to $15 at Apple’s App store.

1. iPad Productivity/Connectivity Apps

*iPDF
*Bento
*Mouse Point Pro
*The Dossier
*Dragon Dictation
*Evernote
*SplitBrowser
*Air Sharing HD
*Good Reader
*Air Video
*StreamToMe
*LogMeIn Ignition
*Wikipanion for iPad
*iDisplay
*Delivery Status Touch
*Things
*Voice Memos
*iAnnotatePDF
*National Geographic World Atlas HD
*Digits Calculator
*ContactPad

2. iPad Lifestyle Apps
*Epicurious
*The Weather Channel Max
*Zagat to Go
*BigOven
*Accuweather
*eBay
*KAYAK Flights
*Stumbleupon

3. iPad Social Networking Apps
*TweetDeck
*AIM
*Twitterific
*Ping
*IM
*Facebook Ultimate

4. iPad News Apps
*NPR
*NYT Editor's Choice
*Instapaper
*Popular Science
*Time Magazine
*NetNewsWire for iPad
*WSJ

5. iPad Music Apps
*TabTookKit
*Pianist Pro
*SoundHound
*PatternMusic
*Smule's Magic Piano
*Pandora

6. iPad Book Apps

*Apple iBooks
*Kindle
*Comic Zeal
*Twilight, The Graphic Novel
*Marvel Comics
*Comic Reader Mobi

7. iPad Entertainment Apps
*Netflix
*Star Walk
*ABC Player
*Yahoo! Entertainment
*IMDB
*SketchBook Pro
*Phaidon's Design Classics
*ESPN ScoreCenter XL

8. iPad Game Apps

*Dungeon Hunter HD
*Need for Speed Shift
*Mirror's Edge
*Plants Vs Zombies HD
*Zen Bound 2
*Geometry Wars Touch
*Aurora Feint 3
*MLB At Bat
*Flight Control
*Fieldrunners
*Labyrinth
*Modern Combat: Sandstorm HD
*Call of Duty: World at War: Zombies
*Warpgate HD
*Worms HD
*Touchgrind HD
*Super Monkey Ball 2: Sakura Edition
*Tap Tap Radiation
*NBA Hotshot HD
*PAC-MAN
*Touch Hockey Extreme: FS5
*Diner Dash: Grilling Green
*Harbor Master HD
*We Rule

http://paidcontent.org/images/editorial/g_medium/top-apps-on-ipad-all-categories-free-paid-m.jpg

I found a list on iPhoneApplicationList.com for apps for iPhone, iPod Touch and iPad. There are five pages of 20 free apps per page for the iPad. That totals 100 free apps for the iPad.

Here's the list of the top 20 free iPad apps.

Discover - Wikipedia in a Magazine
iBooks
ABC News for iPad
Netflix
Real Solitaire Free for iPad
The Weather Channel Mix for iPad
We Farm for iPad
Kindle
iBrainstorm
Flipboard
Pandora Radio
Modern Combat: Sandstorm HD FREE
WeatherStation Free
USA TODAY for iPad
ABC Player
Talking Tom Cat for iPad
10 Pin Shuffle HD (Bowling) Lite
Alarm Clock HD Free
IMDb Movies & TV
appstream for iPad

Here are the top 20 paid apps for iPad:

AirAttack HD
iFitness HD
Little Things
Pages
GoodReader for iPad
Angry Birds HD
Highborn HD
Dungeon Hunter HD
Keynote
Numbers
Chopper 2
Words With Friends HD
Wheel of Fortune HD
Friendly - Facebook Browser
Osmos for iPad
Gangster: West Coast Hustle HD
SCRABBLE for iPad
Pocket Informant HD (Calender & Tasks)
Star Walk for iPad - interactive
Penultimate

These top 20 range from $0.99 to $9.99. I'd say the average price is $4.99

http://www.ilounge.com/images/uploads/ipad-apps1.jpg

According to Apple, there are thousands of apps for the iPad with more coming every day. Hmm, I don't think 16G can be enough for all of these. Anyway, I'll only get the best 10 out of the mentioned 100 iPad apps for you! And you can either visit techradar.com or apple.com. They both list the apps that you need to know about.

Top 100 best iPad apps:
1. Kindle for iPad
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/kindle-320-100.jpg
2. Blackboard Mobile Learn
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/blackboardmobilelearn-420-90.jpg
3. Scrabble
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/scrabble-420-90.jpg
4. Groovemaker
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/groovemaker-420-90.jpg
5. Things
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/things-420-90.jpg
6. Fieldrunners
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/field-420-90.jpg
7. Netflix
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/netflix-420-90.jpg
8. Pianist pro
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/pianist-420-90.jpg
9. WeatherBug Elite -
http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/weather-420-90.jpg
10. Flight Track Pro http://mos.futurenet.com/techradar/classifications/computing/software/utilities/images/ipad_apps/flighttrack-420-90.jpg

A lot more interesting apps when you visit the sources.
“The average iPad app in the Apple App Store costs $4.67 vs. $3.87 for the average iPhone app, according to new research from apps watcher Distimo.
… Distimo, based in the Netherlands, says that 80% of the 4,870 iPad apps in the Apple App Store are paid, rather than free programs (Apple says more than 5,000 iPad apps have been built). That compares to 73% for the iPhone”