Have you heard of an app called Pou? It's a super fun little game and you have your own little alien-thing pet. c: Even if you don't like virtual pet apps I think you'll like this one because there's also about 7-10 games you can play with it (classics, like tic tac toe, jump-on-platforms-like-doodle-jump, find four, and more).
You have to take care of your pet, but it's easy and you don't really have to do it often. Just put it to bed before you want to exit the game (so when you actually want to play games he's not too tired), feed it, and wash it once in a while.
Anyways it's really cute so you can download it here for android: [click]. I don't know where for apple but just search "pou".
You can add friends (go to Hall>Phone>Friends>Search). My nickname is Little_Blu (there should be a baby blue pou c:) so we can be friends if you want. ^_^