I would consider a game like Monopoly or Risk.  Known board games.  I am not sure what the trademark/copyright issues are exactly.  There is also an issue of these games being predominantly American.

The upside is you could actually buyin to these games with PTS.  Consider a monopoly game where basically price everything in the underlying currency.  Risk could give players an option to surrender and retain a certain amount of their buyin?

Monopoly could be rethemed into some different.  It is an easy game to code logic wise.  Not sure how the frontend with this technology is going to work...

Games of complete information are a big advantage.  (Is that the correct term?)  The reason is that this technology will never guarantee someone not having access to the DAC itself from my understanding.  It is a problem that you can not solve, so perhaps start off avoiding such games.

Games like backgammon,chess,checkers etc are nice, but they're not particularly inspiring to pull people in.

Poker is huge, but it has been done a dozen times in bitcoin world and the complexity + this technology makes my brain melt. 

If anything, I might go with backgammon.  You have a game that requires a random element.  Backgammon is pretty simple.  Complete information except for the upcoming rolls.

Your early market will be the nerdy early adopters.  Don't be scared to go after them.

Settlers ?

Competitive timed Sudoku ?  Bots too much of a problem...

Your overall best bet is to make a slotgame, but with guaranteed payouts in the blockchain with jackpot etc.   <-- money maker, transcends all cultures.

So much of the game design depends on how this technology will work...  Anyway.. just random thoughts.