Alternatives to tic tac toe

I play tic tac toe with my wife on a board I hung on the fridge, we can take out time playing since we usually have different shifts at work, say she plays a move I wake up the next day to play my move. Are there any games that don't require us to sit and play? Like thing where we could play and just wait for the other to play? Please don't recommend chess I really suck at it and my cats won't let any piece left alone on the board.