This app was mentioned in 3 comments, with an average of 2.00 upvotes
The room 1 2 and 3 - http://www.fireproofgames.com/games/the-room
John SNES - https://play.google.com/store/apps/details?id=com.johnemulators.johnsnes with Chrono Trigger
Monument Valley - http://www.monumentvalleygame.com/
Plants vs Zombies - http://www.popcap.com/plants-vs-zombies-1
Kingdom Rush Origins - https://play.google.com/store/apps/details?id=com.ironhidegames.android.kingdomrushorigins
Banner Saga - http://stoicstudio.com/
https://play.google.com/store/apps/details?id=com.johnemulators.johnsnes is a good emulator. Also take a look at this wiki https://www.reddit.com/r/EmulationOnAndroid/wiki/index
I highly, highly recommend John's SNES emulator. He made NES and GBA ones as well. I purchased all of them and have used each of them thoroughly. They may cost a few dollars but the way I see it I'm gaining access to thousands of games for less than the price of a book. They all support controllers and have heavily modifiable virtual interfaces and screen aspect ratios. If you are interested in a gamepad I was recently eyeing this one. Most likely going to purchase it on Christmas to test it out.