Ski Safari and The Room are the only 2 games that have ever kept my attention for more than 5 minutes.

Super Hexagon maybe?

SNES9x EX. ;)

Just avoid Real Racing 3 like the plague if you can't stand EA crappy policies and tricks, they managed to make me hate a game that I was quite liking (althought I still prefer by far PC racers, particularly sim ones).
I used to like Drag Racing too, but then I realized it was quite obsessive-compulisve, I started to dislike grinding on it and things got worse at a stage that after a patch could be won just with a car (a Lamborghini, I don't remember what model) and none else. Not owning it, and facing hours of further grinding to upgrade it enough, I stopped playing it cold turkey.
Now I need to root my phone and move FBK and other apps preinstalled by Motorola from system memory to SD, otherwise I can install and/or updtate only small apps. Until then, no other mobile games for me.

These two came to mind:

Deus Ex: The Fall
The Room

There are some pretty cool games that can be recommended, but right now all I’m waiting for is for Numbs https://itunes.apple.com/app/id674456722 to land on Android. The game is a fun number game with great features like in-game chat and social network connectivity. Getting back to Android titles that you can get for some awesome time do check; 1) Clash of the Clans (free) http://www.youtube.com/watch-v=YsdJtn-EA 2) Modern Combat 4: Zero Hour ($0.99) and 3) Worms 2: Armageddon ($1.31), check it out at team17.com/games/worms. 

Try this: http://www.droidgamers.com/index.php/game-news/android-game-news/7306-zen-studios-finally-brings-castlestorm-to-android-in-the-form-of-a-beta-test

It has amazing graphics and it´s fun. It´s currently on beta.

Then there is this:

https://play.google.com/store/apps/details?id=com.Psyonix.ArcSquadron

This is probably the best android space game I have ever played.

You probably know this game. I heard it's pretty popular.

http://techland.time.com/2014/02/09/flappy-bird-deleted/

havent played many but air control is fun for a while.