I can do you guys one better.

Here we go:
Valkyria Chronicles
Chrono Trigger and most remixes that exist on the internet
Star Ocean: Till the End of Time
Super Mario RPG
Xenosaga 1, 2, and 3
Everything from Every Metal Gear Game (including the MGS4 unreleased tracks behind the cutscenes and stuff)
Persona 3 and 4 and FES
All of Guilty Gear
.hack//GU (all 3 games)
Kirby Superstar (and splashing from other Kirby games)
Super Smash Bros. Brawl
Shadow of the Colossus (partial)
Threads of Fate/Dewprism
Halo
Lunar 2 Eternal Blue
System Shock 2
Marathon
Sonic Heroes
Sonic Adventure 2
And splashes of songs from other games.
...I'd have to say I recommend Metal Gear's music the most, just due to its ridiculous epic and atmosphere and stuff. Persona is also really good and has a pop/rock theme going on. Chrono Trigger is stellar if you're into 16-bit stuff (and has great melodies besides), and its remixes can often be hugely awesome.
I hate having to pick.