I'm gonna expand into android games, cause android masterrace. I've been playing marvel's contest of champions. It's a collection game where you can unlock heroes that run the entire gambit of marvel characters from the current comic runs to the MCU. It's free on google play, but it does have a lot of microtransactions, as well as PVP, a story mode, and special quests. You can level up your heroes and heroines to unlock better abilities, more special moves, and such. It plays like a mix betweeen a dungeon crawler and a mortal kombat style fighter. It's pretty **** awesome.
You know what, you're right. I assumed that it was talking about iphone games. I wanted to hijack it a little bit to include android because of the fact that it would be pointless to start a whole new thread for something basically similar. I apologize.
If you are willing to play Free to Play games, I'd suggest Brave Frontier. If you don't mind spending a little cash and enjoy rhythm games, Deemo is another game to look into.