[General Discussion] Games that "ABSOLUTELY" deserve a remake or sequel.

Apparently one of FASA's ex-cofounders - and a co-creator of the BattleTech franchise - decided a reboot is in order; feel free to check out this Q&A article.
I'll agree with Einhander, Rival Schools, and Jet Set/Grind Radio... and add Shadowrun. As I've said previously, with that much lore to play with, simply spitting out what was basically 'Counter-Strike with cybertech and magecraft' just doesn't pass muster. No, a proper current-gen Shadowrun would work along the lines of Mass Effect or Alpha Protocol.
Oh, and since Zergrinch brought up X-COM, I'm going to have to toss Syndicate into the hat. Anyone else remember how much fun Syndicate Wars - Bullfrog's last great hurrah before EA bought them up - was?
Lastly, Battlezone. No, not the arcade game - I'm talking about Activision's '98 (I think) first-person RTS which had as high concept 'Cold War gone hot in space'.

Jam it back in, in the dark.

I think Mobile Suit Gundam: Zeonic Front deserves to be on this list as well. This particular entry in the franchise is distinguished not only by its perspective, but for the fact of its gameplay being similar to early Rainbow Six titles; some footage can be had here.
A hypothetical reboot might be best undertaken in cooperation with Ubisoft's R6 dev tem (if it's going to be 'Rainbow Six with mobile suits', you might as well work with the experts) and have an option for cooperative play.

There's nowhere I can't reach.