Well, I prefer Role Playing Games, but I am also fan of First Person Shooter, Sports and Strategy!
Depends how I feel during the day or what my mood status will be will tell me what kind of a game I should play. If I want to turn on my brain, then I will decide to play RPG like DOTA2 or Frozen Throne. Because, I have to think what hero I will have to choose, how to mix the spells and items in the same time and what will be my main role in the game.
If I have an extra energy, then FPS will really help me to spend my energy. I usually love to play Counter Strike or Call of Duty.
Strategies games are something similar to RPG, but you don't have to use your brain with full potential. I will take Generals for example. You have 3 types of nations and depends on what nation you will choose you will know how to set you game.