1. First person shooters (FPS): These are the type where the player has the camera view centered on him or her carrying a weapon of some sort. Be it bare fist or the most sophisticated weapons known to humanity. Explore and fight are mostly are the main theme here.
3. Massive multiplayer online role-playing games (MMORPG): Quite a long title and its massive because these are platforms where huge amount of people can play simultaneously. Usually a virtual world where objectives, or winning conditions will be depending according to the game rules.
With a whole lot of folks carrying smartphones, or mobile devices which support gaming, having the ability to download, and play many types of games is easy to do.