Final Fantasy. The name alone sums it up. It is the end-all of RPGs, since no other RPG will ever come close to it in quality. Well, I have to admit Planescape: Torment was pretty damn cool, not to mention the older Dungeons & Dragons games, or ADVANCED Dungeons & Dragons games, I should say. Sure, they had EGA graphics, but the stories were awesome! I remember how good I felt, playing through Death Knights of Krynn, and beating Lord Soth, the coolest death knight I've ever seen in fantasy novels.
As far as other video games, I'll play anything with a decent storyline to it. If it doesn't have a good storyline, or a lot of character interaction, it won't hold my interest for long. Also, I don't like first-person shooters. I know it's pretty bad to say this, but all the turning makes me nauseous and gives me a migraine.
Oh, I LOVE fighting games! Something I can probably never get sick of is playing Tekken with buddies. Something funny about that game is that you could set the game on the hardest difficulty, put mittens on, mash the buttons, and be able to beat the computer. Granted, you'll miss out on some of the harder moves and combos to pull off, but most of the moves in that game are cool to see, anyway. So you're bound to see something cool, or you'll just mash the buttons in the right order and see an awesome combo that will make you say, "Whoa! That was cool! How did I do that?" And then you'll never do it again.