The first game I ever played on an iPad was Small World. Small World 2 came along and improved on the the original. Now, we've got the Tournament Style launch, which includes a full lobby, real time play (as opposed to asynchronous which already existed), and the big feature they're touting - a "speed chess" like timing mechanism, so each player is time limited for the entire game, thereby encouraging a faster, more exciting style of play without changing any of the standard rules. If you've ever played a board game, you've probably played one of those folks who takes FOREVER to finish their turn. The clock is adjustable with several different offerings to match the kind of rules you wish to play under.
The new release is available on Steam, Android, iPad.
Small World 2 Tournament Style - New Features