RPG: I'd basically call myself a treasure hunter, if I know the direction I need to go for the plot, I go the opposite way so I can get all the loot. I'm also a compulsive saver, I save multiple times at every save point, just to make sure.

FPS: Unless it's an RPG shooter like Mass Effect or Borderlands I tend to avoid it, and if they are like an RPGFPS, I play them like an RPG, but with a shotgun/sniper combo.

MOBA: No, just hell no.

MMO: I'm a multi character player. I create one of each class, if possible, then usually start with the warrior type and go with that one for a bit until I hit some sort of milestone, such as a class change (if it's that type of MMO), or an arbitrary level I decide to stop at. At that point, I try a different class and repeat the process until I'm either bored of the game, or back to the first character.