Pipsqueaks is a trading card game you play together on one phone or tablet. Each of you picks a buddy, plays a critter card and taps Bonk. Knock out the other pipsqueak to win a star; three stars wins. A game takes about ten minutes.
It's made for kids about 4 and up. Every card is a picture and the game says the words out loud, so nobody needs to read. When a game ends, both players open a pack, win or lose, and the new cards go in their binder.
It's free, with no account and nothing to download. If you'd rather play at the table, you can print your kid's own deck for $4, with their name on every card.
More for little kids: card games for 4 year olds and card games for 5 year olds.