The Tales Series (Tales of Phantasia for the SNES, Tales of Symphonia for the GameCube)
I like these games mainly because of the battle system. Unlike Final Fantasy, you actually control your characters and fight with them, a bit like in Super Smash Bros. I loved the story in the two games above and I found there was quite a bit of replay value.
Final Fantasy
Mainly for the storytelling, through the characters, dialog and cutscenes. The gameplay might not be the greatest, but I like it all the same, especially when you can customise your characters a lot (materia and junction systems).
Chrono Trigger
Story/characters, being able to travel to different times, combo system.
Can't really be bothered listing any more.