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The iPad display is perfect for remotely controlling any PC or Mac system, and Logmein is an outstanding way to do that. The interface is fully optimized for touch operation on the iPad, and make it possible to work as if you are sitting in front of the remote system.
Free, with an in-app upgrade to Logmein Pro to provide HD video streaming for $39.99
Take a look at this video review of Logmein on the iPad 2.
This game was released with the iPad 3, and had support for the Retina Display out of the box. It is an outstanding jet flight simulator that has been written to make it easier to fly using the iPad. I have to admit I am still not a great pilot using this method, but the game is so much fun I keep on trying.
I like a good weather app, and this one is simply gorgeous on the iPad screen. It gives a simple look at the immediate forecast, and has an animated background that reflects the current weather. It's great to leave running with the iPad in the dock.