My favorite kind of game. TRPGs are my core hobby, and I spend a lot of time on them. What follows is a (probably incomplete) list of games I have played. They are in no particular order, other than putting some of my favorites or most-played first.
This is my go-to high fantasy game these days. I usually play in Golarion, though Midgard/Southlands is in the midst of seducing me away. I've played in a couple of APs (Rise of the Runelords, Reign of Winter).
Possibly my favorite game of all at the moment, Scion is American Gods as a game. Play the bewildered child of a god trying to get by in the modern world! As I write this, the second edition is in the works.
D&D is the game. It was my first, and the Forgotten Realms was our setting of choice. I have also played in Greyhawk. They lost me at 4th ed, however, and I have not even looked at 5th, even though I hear it's better. Sorry, not sorry. Pathfinder scratches the same itch, and I can only be bothered with so many high fantasy settings.
Of course, for those angry emo days, there's always WoD. I've played Vampire: the Masquerade, Werewolf: the Apocalypse, Mage: the Ascension, and Changeling: the Dreaming. I should note, however, that I have played only a game or two of most of the them. I am probably most familiar with VtM, and I don't like MtA at all.
Swashbuckling and intrigue in Not-Europe. What more do you need?
I did also play the CCG for a time, but I gave those things up long ago. I'm sad that this game is no longer supported.
Played with cards instead of dice, this is still my favorite superhero system. I like the simplicity of it. (Do not get me started on Champions. Also, do not ask me to play Champions.)
I liked White Wolf's superhero offering alright, though their metaplot got in the way, as usual.
Horror games can be hard to pull of, but I love them when they work.
More great Old Ones! The gumshoe system is an interesting variant.
For when you're all full up on horror? Beer & Pretzels gaming. Not my favorite, because story arcs are pretty limited, but fun.
Retro sci-fi. Amusing, but I have only played once, so I am not sure how I feel about it.