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Pick up some EA apps while they are on sale. Need for Speed: Hot Pursuit is a lot of fun. Pages is an incredible powerful app, 1000x better than word even though it's on the iPad. Some games to get would be: Angry Birds, Cut The Rope, Fruit Ninja, and Flight Control. Other apps that are good are: Pandora, Twitter, Dropbox, FlipBoard, and Pulse News
 
When you start take lots of free games and application. even if they are not very useful. Just for exercising

I have an iPhone just wondering about iPad only apps or good dual edition apps.
 
I guess it ultimately depends on what you're looking for.

If you haven't tried Angry Birds, that's an addictive game that everyone enjoys.

I enjoy card games, so my favorites are any solitaire games up to one of my favorites, WSOP Poker.

My favorite news paper is USA Today, and they've got a free app that lets you read every article in the paper - cool display too.

If you're into social networking, Flipboard allows you to access both your Twitter and Facebook accounts easily, and does it in a cool format.

If you like to track weather on radar, get MyRadar

Tips and Tricks for using the iPad is good too

If you like playing with your pictures and want one of the coolest apps I have in my iPad, get ColorSplash. It takes any photo you've added to your iPad and lets you "color in" whatever you want in color while the rest of the picture stays black and white. Then you can print it (I used a wireless printer) for framing. It's really cool. Another one if Face Melter that lets you make funny pictures of your friends and family!

If you're into biorythm's, there's a cool app for that.

Another addicting easy game is DoodleJump.

Have fun with your new iPad! I know I can't get enough of it either!
 
I use the Kindle app a lot on my ipad for reading at night.

I really wish that there were some good sports apps to keep track of scores. I picked up the ESPN app but I really hate how it is organized and the overall layout of it.
 
If you like to shop at Target, check out the iPad app. I was blown away by the ability to read the weekly ad like it was made for iBooks. Another thing to do away with the need for paper. I just need to get my own darn one.
 
I'd get iPhoto for the iPad, 'cept Apple hasn't released it yet, the Photo app is useless.
 
I played the scrabble from my friend iPad and it was really amazing you even play with other iPad users. EA games can be really interesting too, plants vs zombie and angry birds are also one of the best iPad apps
 
Allow me to save you a lot of time since I am the designated app investigator for my entire family, and have tried a ridiculous # of apps out there:

Browser:
ICab Mobile is the best I have found (runners up: Atomic, Perfect Browser)

Essential Utilties:
1password - good luck cracking my 25 character indecipherable passwords - a really good idea to use 1password, and the ipad app is top notch
Evernote - incredible, free, note taking apps for your computer and ipad
Dropbox - syncs many apps and your computers with ipad, this like Evernote is an absolutely essential service to run full time on all your machines
System - just your basic system info app but very useful - memory, batt, etc
Free Wi-Fi Finder a free hotspot finder that actually works really well and allows you to download locations for viewing w/o internet. Most of us have either 3g or Mifi, but it can still help in a jam
Air Display - allows you to use your ipad to extend your laptop screen, only necessary if you need such a functionality, but very cool. An example would be if you use Photoshop you can put your brushes on your ipad screen and have them available at your side so you can maximize screen space for whatever you are working on.

Video:
Netflix - if you don't have netflix streaming, then get it immediately
Air Video - one of the best apps ever hands down - streams tons of video off your local machines/servers to your ipad)
VLC- I usually use the native ipad video app but this can handle most other video - not as good as the computer version but still good and likely to get better)

Photo/Drawing:
ArtStudio - drawing, editing
Photogene - photo editing
Adobe Ideas various
Diptic - photo layouts
iChalk - rarely bother with these gimmicky type apps but this one is special

Astronomy:
Nasa HD - they did a real nice job with this and probably just will get better
Observatory - lots of scientific data
Star Walk - this is of course one of the most famous apps and very cool
Planets HD - kinda of the Star Walk for planets

Read:
Flipboard - !!! doesn't really get better than this free app imo, you create categories and it aggregates a web-based magazine for each topic. The elegance of this app is amazing, there is a reason it was app of 2010
Skygrid - similar principle to flipboard and I happen to like this one too
Kindle - duh
Discover - applies flipboard like principles to wikipedia entries, actually very awesome and I think free? app
SI Football - if you are a football fan, this is a great example of interactive books on Ipad

News:
BBC, USA Today, CNN - any of these are decent, I usually prefer the webpages directly but that's just me - i always go to ICab Mobile first
NPR - this is a pretty special app and has a lot of interactivity. Also it's free of course

Music:
Pandora - just about the greatest app ever no matter what device you are on
SoundHound - I personally use soundhound all the the time and have always found it better than Shazam and worth the money)
Aweditorium - really good interactive music magazine thingie
Albums - I wouldn't say this is a necessary app by any means but it is quite cool and kinda a show off app if you are proud of your music collection

Movies:
IMDB - again I usually use the website but this is a good app for what it is
Flixster - great great way to look up movies and links to Rotten Tomatoes reviews as well
What's On? - Essential, great app that shows TV listings for basically any service anywhere... I never realized how much better it is to have a guide at your finger tips instead of endlessly scrolling through the on TV menus.

Shopping:
AppShopper - great alternative to app store surfing, has a lot of extra functionality
Target, Ebay, Zappos - these are all examples of companies that made decent apps vs a lot of retailers that couldn't be bothered
Windowshop - truly great shopping app by Amazon which is kind of a shopping free for all
Deliveries - tracks UPS, Fedex, etc with push notifications, etc.. amazing

Travel:
FlightTrack Pro - best overall flight app, kinda pricey tho, this one depends on how often you travel.
Lifelike Clock - my favorite alarm clock
Weather HD - a popular weather display
Kayak, Tripadvisor, booking.com - again good options for travel website apps
Wikihood - cool geo location based info app
FlightBoard - pretty damn cool, displays arrival departure info for any airport in the world essentially, so no battling other people to see your info when traveling

Other:
Epicurious - my fiancee uses this non stop for recipes and it is generally regarded as the best food app
5-0 Radio HD - I think this app is awesome, basically police bands from anywhere and a lot of bonus features
Magic Window - One of my favorite apps, just download it for 99 cents and you won't regret it. It basically displays relaxing scenes
Fire HD - another awesome one that simply turns your ipad into a crackling fireplace

Remotes: (use these to control my Home Theatre and network computers)
Rowmote Pro - simple, long established remote app that seems to always just work better than the rest although I own A LOT of remote apps
Remote HD - this would be my runner up to rowmote pro, of course these apps are mainly used for controlling your computers, especially if you have them connected to your home theatre
Sonos for Ipad - if you have sonos then this was probably your first download
Splashtop - probably the simplest way to view your computer desktop when you are on the same wireless network
TeamViewer - install TeamViewer on all your computers and your ipad right now. Take a few minutes to set it up and you will be able to control your computers from anywhere in the world.
Wake - very specialized app for waking your computers on Lan signals out of sleep mode. If you don't know what I am talking about then move along, if you do then download it.

Games:
Words with Friends HD - like Scrabble but so much better
Monopoly HD - this game is amazing, play games of monopoly in 30 minutes instead of 3 hours does suck that it's $9.99 with no current discount
Space Invaders Infinity - extremely impressive arcade game
Angry Birds, AB Seasons, etc - everyone knows to get these although they are far from my favs
Solitaire HD - just beautiful solitaire, blows the rest away but costs $$
Risk, Yahtzee, Snood, Boggle, etc - buy all the 99 cent EA games, they are great and super cheap for next few days
Little things - one of the best games out there
Crosswords - expensive but ever expanding collection of real newspaper crosswords from around the country
Plants vs Zombies - a classic
Zombieville - one of my absolute favorites
Lets Golf 2 - heard nothing but good things, hoping to play with my family over holidays

there are a million more games but these are my favs.

That's about everything that I use on a regular basis, I take great pride in the apps I have found as I did a lot of research and I think you will like any of those I listed as long as you have a use for them.
 
try Snowblaze HD, it let's you browse multiple web pages windowed / tile style on the same screen.
 
I like learning languages so I use my iPad to help me with German and Spanish. I'll post back if you're interested in them. EA have a massive sale on at the moment so check them out.

Games
Aralon HD - RPG
SimCity DLX
The Settlers
Eliss
Godville (free btw)
The Incident

For various media related stuff I have:

RadioBOX
Aweditorium - music app, I think of it like a cut down Pandora.

For writing I use and recommend iA Writer.
forreading I use iBooks, Stanza and Kindle.
 
My top apps

ABC tv app
PDF expert
Printcentral
Atom browser
Task pad
Quick office
Doc to go
Quick sale
Ifile
Idownload
App backup
Aptbackup
Remote HD
Pages, numbers, notes
Epicurious
Dropbox
Sugarsync
Google mobile apps
I have about 120 apps these are the ones I use every day
 
Great post Restinbeast! Same here, I spend a lot of time researching every app in each category to find the best there is to pass on to friends and family.
 
I prefer Angry Birds on an iPhone/iPod Touch to on an iPad. Don't know why. I just don't like it big. Smaller feels right to me in terms of how the game feels/responds.

Weird, I know.

+1 for Flipboard.

Interesting that nobody has mentioned SkyFire, though to be honest, I haven't bothered to get it so not recommending it. I just know there are a lot of people out there who need or feel they need access to Flash content.
 
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