While I have a lot of gaming devices, I don't own an Android tablet. My sister Andrea does though, and she's written up some blurbs of some familiar (and some new) games as they play on an Android tablet (her words below):
Since I purchased Humble Bundle 6 (not available anymore, sorry!) full of Android games, I thought I would see how my Nexus 7 functions as a gaming device. I was pleased to find some real gems; Android is a great platform for indie developers because anyone can develop for it and release games with no fees. While there’s still plenty of ad-heavy, clicky, freemium “games” out there, the games below are all polished gems worth trying.
Note: Though I played all these on Android, some are currently only available on Android with Humble Bundle 6.
Beautiful, relaxing game where you play as an ocean creature uncovering ancient magical powers. Spells are cast by playing various notes (similar to LOOM, though much less cumbersome), and are used both to fight monsters and solve puzzles. Available for Win, Mac (Android with HB 6)
Rachel mentioned this one; I played it long enough to beat it and it is quite fun, especially if you played the original Oregon Trail as a kid. Expect to die your first time or two until you figure out the game. Unlike Oregon Trail, it has several different mini-games and more complex dynamics; you can upgrade your car, or learn combat skills; you can do jobs for money or brave the zombies to scavenge supplies. Available for every platform.
Simple, yet addictive rhythm game with hip chillout music. Available for iOS (Android with HB6).
Turn-based strategy combat game with fascinating atmosphere and brutal AI. Available for Win, Mac Linux, iOS, Android.
A hip, hexagon puzzle game that is both challenging and relaxing. Available for PC, Mac, iOS (Android HB6).
A puzzle platformer where you roll a ball across a twilit landscape. It has a beautiful atmosphere and can be quite challenging (sometimes frustrating?). Available for Windows on Steam (Android with HB 6).
Broken Sword - Director’s Cut
Somehow I missed this adventure game when it originally came out in 1996. Full of mystery, conspiracies, templars, and artifacts, it’s a great point-and-click adventure, with remastered art, sound, new playable character, etc. Great fun for any adventure game fan. Available for iOS, Android, Mac, PC, DS, Wii.