If you are stuck with Android like me, here are the few better available options for gaming -- they all have at least 4 out of 5 user ratings:
Anomaly Warzone Earth HD and
Anomaly Korea (I hate tower defense games; but this is a
reverse tower defense.)
Battle for Wesnoth (The is an old trailer from two years ago. The game receives frequent updates, and the latest graphics are improved. The iOS version is better, but the PC version is the best...
and free.)
Battleheart Broken Sword: Director's Cut and
Broken Sword II: The Smoking Mirror Devil's Attorney (This is actually an RPG, a very unique RPG)
Elder Sign: Omens Game Dev Story, Dungeon Village, and other Kairosoft games (They are the same game in different settings; but if you love one, you'll love them all.)
Knights of Pen & Paper and [url=http://www.youtube.com/watch?v=RUJfGRlhZpQ]Majesty: Northern Expansion Rebuild (It's really Rebuild 2, but retitled as just Rebuild on Android, as the first game is not available for Android.)
Samurai II: Vengeance The Bard's Tale Total War Battles I left out ad-supported games without a paid ad-free version, puzzle-based casual games, freemiums, JRPGs, MMOs, and tower defenses. Either I hate them, or they are too many to be listed.
Anyway.
After having used Android phones for almost two years, I can say this with absolute certainty:
iOS has more and better games than Android. In addition, iOS has plenty of exclusive games -- good, solid exclusive titles -- that are NOT available on Android. On the other hand, almost all good games you can find on Android are also available on iOS, and the iOS versions are often better implemented (like Battle for Wesnoth, Carcassonne, Settlers of Catan) and/or have more features, more contents (Battleheart, Settlers of Catan.)
(Pretty sure all the Android fanboys and iPhone haters are now going to rate down this post.)
More irritatingly, Android is being plagued with "freemium" games with nickle-and-dime in-game transactions. I avoid those games altogether, so I did not recommend any freemium games. Unfortunately, the majority of Android games are nickle-and-dime shits, and that further narrow down the already-limited choices of games.