Final Fantasy 8, 9 & 10 for me. Don't play them as much anymore, still enjoy playing them though, but as a kid I'd replay these on a regular basis.
Pokemon. I just love Pokemon. And no interest in the competitive side whatsoever so that doesn't leave much else other than replaying the story, don't mind that though since it's pretty enjoyable.
Dynasty Warriors. I'm a huge musou fan, so I'm always up for replaying some DW!