I've played a few games on Android that are bizarre and wonderful, and nobody else seems to know them. Philipp Stollenmeyer makes nice, tactile, casual puzzle games with a clear and chunky aesthetic and great sound. Verticow, Zip Zap, Burger, and Okay? are four I can recommend. His art is very Monty Pythonesque, and the games just feel cool to play.
I also tell everyone I know about a game from 2014 called Always Sometimes Monsters. This game was telling an inclusive story before it was cool. It seems to have been made in RPG Maker, and is set in a modern city. There is no combat, just being a person, having conversations, running errands, and trying to accomplish your goals. The dialogue is realistic and sharp, and the story unfolds in a very satisfying (if a bit tropey) way.
I made a friend online a couple weeks ago -- this guy posted his game called Amethlion to an android forum. It's an open world crafting RPG and he was selling it for a buck fifty. I jumped at the chance to play a cool little pixel art adventure and actually get to interact with the creator. It's buggy as all hell, but it is very cute and pretty fun. The creator is a very nice person and has been very grateful to hear my bug reports. Dynamic Zero is the name of his company, and he made the game solo with his brother making the music. It's a family affair and I think that is just so sweet.
What mobile games are you all into these days, if any? And if the answer is none, how come?