let me add this
sixaxis controller(ps3) can be used
via Bluetooth (need Root) or via usb utility (otg suport)
Am currently using two ps3 controllers

ps4 controller can also be used

xbox360 controller can be use via otg cable with two means..
1.using wired xbox360 controller with otg cable

2.using a wireless controller with a pc wireless reciever

Pc wired gamepad can also be used via otg cable.

ipega gamepads can also be used via Bluetooth,even with mtk devices with provided app named openpad union...
check here http://blog.geekbuying.com/index.php/2014/01/07/g910-game-controller-new-firmware-and-connection-app-fix-the-analog-stick-problem/

moga controllers are also usable

gamestop Red samurai v2 controllers can also be use.

check here to see a little of what your android device can do even android v3.2
http://www.makeuseof.com/tag/make-retro-game-console-old-android-device/