Man, I love Final Fantasy games. Just on Google Videos, I've found some pretty cool stuff. First of all, the the opening movie from FF8, which kicks ass. There's an AMV of FF with Linkin Park's "Somewhere I Belong" (though I'm not a huge fan of Linkin Park, look at the concept - Final Fantasy with a kickass rock soundtrack - very MTV). There's also a strange AMV of a rap track combined with FF7/AC and FF8 scenes. Never thought you'd see Final Fantasy 8, 9 and 10 mashed up with System of a Down's "Chop Suey"? Think again. And here's another rock take on FF8. 
Then I found this video of a whole load of different video game music and video mashed together. See if you can work out what games are in there. 
Then there's some FFX/FFX-2 stuff: well, there's the American commerical, another Linkin Park AMV, a fan-made video for "1000 Words" from X-2 (but using some images from X), the original ingame version of "1000 Words" and an Evanescence AMV. 
For Final Fantasy 7, there's some cool ingame footage: the opening, some of Diamond Weapon, some French battle footage of Titan being summoned, Cloud's Omni Slash move and, of course, Aeris' demise. Oh, how much I enjoyed playing that game the first time around. 
