I've always loved RPG's, long before it became "cool"! I like the games cause of the stories... it's like reading a book, just that you can make more of decisions yourself and you kind of more involved with the characters and how the develop!
Very many people like to say games like Final Fantasy VII is the greatest RPG ever... I wouldn't really agree about that! I think for example Final Fantasy VI has a much better story and more ways to succeed in the game story! The experience of exploring, whatever it is to explore, is a good thing in these kinds of games! Because of this I also like puzzle games!
Platform games is more entertaining, but yet I like the way I train my reactions! If the platform game also contains a good story, a lot of secret stuff and a hell lot of real-time tactic making situations then it's really something for me! Entertainment and experience! (Examples on newer better games, Oddworld, Ico, Shadow Of The Colossus, Metal Gear Solid and Final Fantasy with real-time battles, so your opponents can attack you, while you think! Make sure to make it as difficult for you as possible for the sake of the realness and doing a good job!)
(I could sure have explain these things better, if my English was better!)
BTW: To the post above, I've played the FFTA to GBA... That game was cool, but I heard FFT was better, so if they have made great remake!! Another good remake they did was Final Fantasy I, they made the graphics better, they fixed a little on the battle system and added 5 more dungeons! One 10 floor, one 20... and one 50 floors! In these you can find monsters from FFIV-FFVI!
Some small extra stories down there, really out-of-story, but good! You can think of it as time holes and would fit into the story better!