On my phone I play Sudoku, which is perfect, no competition with others. I had Yahtzee and that got out of hand with like 60 games going at one time. But Sudoku, I do like one game a day, maybe two, takes 10-15 minutes and I'm done. Helps me fall asleep...
My family loves board games. Settlers of Catan, Carcassonne, Bohnanza, Ticket to Ride, etc
HATE Monopoly but I'll play Monopoly JR with my kids- doesn't take hours!