I don't know about anyone else, but one of my favourite things to do (though not very often) is browse through OCRemix and grab a few remixed tracks to listen to on my iPod, or even to use in FF7. I realise that some people might not like how far from the original the remixers can go but I find it quite interesting how a song can be renewed when remixed.
I have a LOT of favourites, here are a few...
Final Fantasy VITerra - Nice Guitar. Rock-esque.
Terra - Slower, very chill.
Phantom Forest - Odd, electronica-ey. Creepy vocals.
There are many more remixes of terra, most of them are good. As well as other mixes from FF6 that I like.
Final Fantasy VIIMany - Good medley of Anxious Heart, Fight On, Let the Battles Begin.
Frozen Landscape - I listen to this in bed when I'm trying to get to sleep, it's awesome.
Cosmo Canyon - One of my all time favourites. I love the build up.
Hurry - The quote near the end is excellently placed.
J-E-N-O-V-A - I use this for the Jenova Synthesis battle.
Cry of Planet - Dance-ey.
Cry of Planet - Odd and close to original.
Wutai - I like this one. Chill again.
Anxious Heart - AMAZING, I use it in game every time. Has a great creepy vibe.
Final Fantasy VIIIMan with the Machine GunBalamb Garden - Relaxing. Nice Guitar.
Compression of Time - One of my favourites from FF8. Wish I could use it in-game ^_^
Final Fantasy IXFF9 - Battle - This one made me laugh, though the sound isn't that great.
FF9 - Melodies of Life - I find this one relaxing.
Many (Mainly FF9) - This one is an interesting emalgamation of many different tunes.
FF9 - You are Not Alone - My favourite song from this game, great remix. Resembles the original.
There are loads more. There's a remix of "Utai" that I really really love but can't find anywhere at the moment. It's not the one I posted above. If anyone knows of any remixes of that song post me a link and I'll see if it's the same one.
So, what are everyone elses favourites?