One word of warning though: this version is still quite buggy and might be considered an alpha release. Very enjoyable game though and I'm confident Beamdog will release updates in the coming months to further improve gameplay and reduce bugs.
Might also want to download the "12 days" app by Apple. Near the end of the month they will give some apps / music / books / etc... away for free. Last year got (among others) a "Broken Sword" (adventure) game this way.
Awesome note: great note taking app with todo features, link to calendar and great organizing features.
iThoughtsHD: mind mapping par excellence, and the author is really responsive to new ideas; he implemented a feature to automatically number sections so I could use the software for work breakdown structures
NextDraft is a great "summary of the day's news" app. No frills, no Newsstand subscription, and it's free.
The NYT app is a bit unstable, but it's arguably the best Newsstand app (yes, better than The Magazine, which is too barebones for me). You also get top stories for free.
Check The Weather gets you hourly rain forecasts (using the Dark Sky API) as well as daily/weekly weather.
Xbox SmartGlass is great for the 360 gamers here. The second screen is useful for, say, checking challenges or K-D ration in Halo 4.
If you like music (or have kids), check out Tiny Piano (shameless plug, as I'm the developer).
For typing notes, I like Daedalus.
Also consider checking out the Anomaly graphic novel. You get the first chapter for free. It's interesting to see if this could be the future of graphic novels. (It's a big download.)
There is no good HN reader app
Paper by 53
^^my inner designer coming out^^