Cheers to that! The Eternal Champions series has to be truly an underrated gem. They deserve a lot more attention than they got. And I'm probably sure you'd have guessed I'm a fan of it based on my username.
At any rate, I do obsess off and on with certain games, but I can't remember specifics.
However, my longtime obsessions are:
Pole Position - I still remember the day I passed it up for Star Wars: Jedi Arena! How stupid could I have been? And all those times playing it in the arcade. I remember at the Boston Children's Museum, they had the game there on free play and I remember playing it nonstop. To this day, I aspire to play every version of Pole Position that's been made at least once.
Resident Evil - I remember playing Alone in the Dark in 1995 on the 3DO, and how much fun it was, running around avoiding monsters that could chase you from room to room, and solving puzzles. It was also enough to scare me from playing it at night. In 1996, after I got my PlayStation, my first game purchase was Resident Evil, as suggested by my friends at the time. Despite having trouble at first, since I wasn't accustomed to the concept of 'survival horror,' I eventually learned the value of dodging zombies and monsters, and became a pro. To this day, I've gotten just about every Resident Evil game published in the US (didn't get Gaiden, but I'd kill to play Gun Survivor 2.)
Time Crisis - Curse you, Namco, for making this game a PS3 exclusive! The Time Crisis series was always a big one because it simulated what it's like to be a secret agent taking on the bad guys in an adrenaline rushed race against time to save the world.