You didn't list the Point and Click Adventure game genre. This game genre has typically required a lot of thought to beat the games.
My vote goes for the Point and Click Adventure game genre. This game genre requires no hand reflexes and skill like FPS and fighting games do. Sure those games require you have a good memory for all the moves, but you need the memory plus the skill to pull them off. Once you've memorised all the moves (of every character), all you need to do is keep practicing to pull them off better then your opponent. That's not real thought, it's just rote practice so you can do what you've learnt better and better.
Point and Click Adventure games on the other hand don't require rote practice to perfect learnt moves. Point and Click Adventure games are all about constantly thinking about how to progress to the next part of the game, as usually the way forward is not obvious and requires much thought.
Understood and thanksI thought about placing Point and Click Adventure in the poll but doesn't the genre fit in under puzzle? I tried not to list too many genres and use their purest form as possible.
Understood and thanks
Actually no. Puzzle games are totally different. A way to example to explain this would be trying to compare Monkey Island or Myst to Tetris Attack/Pokemon Puzzle League (both TA and PPL are the same thing). You can see the obvious difference between Point and Click Adventure and Puzzle games there.
Graphic Point and Click Adventures to have puzzling elements but in a totally different way to puzzle games.
Here is a nice article about the rise and fall (and semi rise again, thanks Telltale) of the Point and click Adventure game genre.