This app was mentioned in 5 comments, with an average of 2.00 upvotes
My wife and I used to play the Micro Battles games by Donut Games whenever we were waiting for our food at a restaurant. They're fun, short diversions. There are 3 of them. Below are some links:
Granted, this genre really doesn't have much for deep our meaningful gameplay, but is generally good for a laugh.
Donut Games - Micro Battles are awesome one button local multiplayer games. You can only access one mini game per day if unpaid. I quickly purchased all three though.
https://play.google.com/store/apps/details?id=com.donutgames.microbattles
Wrassling - hilarious physics game with local two player. Also free.
https://play.google.com/store/apps/details?id=com.kappsule.wrassling
Battle Golf - Two player head to head golfing game.
https://play.google.com/store/apps/details?id=com.kappsule.battlegolf