I really enjoy playing Ascension online. Not a big fan of deck builders usually, but the ipad taking care of resource counting and card shuffling makes games a lot faster (15minutes or so when you've learnt the cards), so I'm more tolerant of the odd imbalanced game due to lucky draws. You can set the time for a game (speed chess style) from 10mins each to 28 days each, so it suits asynchronous or simultaneous playing. I've clocked up 400 games now...
It's much cheaper than the real game too, with each expansion costing <£3 - you can get the entire set of expansions for less than the base game costs in the stores. The expansions change the game a lot - Dawn of Champions is pretty much an essential IMO, as it assigns a class to each player to encourage asymmetrical play. The store has a bundle of the first three expansions + some promos for £3.99 which is pretty generous as a gateway to see what the game can do. The base game alone can be fairly formulaic, but.that's true of most deckbuilder franchises I suppose.
Patchwork is great on iPad. Just like the real game. Only small issue I notice is that while the pieces are placed in a circle, so you can predict future moves to block your opponent, the ipad represents this as a queue of pieces, showing three at a time. This makes predicting beyond a move or two more difficult/less intuitive than playing the real game. Not a big problem though, and I doubt a 7 year would notice that in any case.
I'm kinda surprised how few games allow remote play. I have Pandemic and Paperback on my iPad, but they only have local play.