Here's a screenshot of my boardgames folder that I took the other day (there are some in the background outside of the folder, too). They are all good quality apps, some are simply fantastic; it's really all dependent on your taste in boardgames.
I'm also missing a few games that I know of not pictured:
* Army of Frogs - I have it on my phone, just haven't installed in on here
* Fits - I have it, just not pictured
* Blokus - just haven't bought it yet
* Cyclades - no AI and local 2 player only, therefore rated poorly, although it is expecting an update
* Imperial - just don't have much interest in this game, may look into it in the future though
* War of the Roses - I should buy this one now that I'm looking at this
And I use
Game Table to play classic games around the iPad (no AI), like Backgammon, Go, and Chess.
Some games (in development or at least talked about) that I can remember at the moment on it's way to the iPad:
* Nightfall (submitted! will be out soon!)
* Dominion (official)
* Thunderstone
* Through the Ages
* Eclipse
* Troyes
* Dominant Species
* Summoner Wars
Just read a while back that Tasty Minstrel Games (Belfort, Eminent Domain, Jab, etc.) is starting iOS development soon; hopefully we'll get some good stuff from them, too.