This is a lovely medley of Chrono Trigger and Chrono Cross themes, as performed by the Play! Video Game Concert Orchestra.

This is my favorite song out of Xenogears, EVER.

Video Games Live is a concert event that has all sorts of video game music, new and old. They pair their music arrangements with video footage from the games. The current game list that they cover includes:

Mario™, Zelda®, Halo®, Metal Gear Solid®, Warcraft®, Myst®, Final Fantasy®, God of War™,  Kingdom Hearts, Castlevania®, Medal of Honor™, Sonic™, Tron, Tomb Raider®, Advent Rising, Headhunter, Beyond Good & Evil™, Splinter Cell®, Ghost Recon™, Rainbow Six®, EverQuest® II and a special retro Classic Arcade Medley featuring over 20+ games from Pong® to Donkey Kong® including such classics as Dragon’s Lair, Tetris, Frogger, Gauntlet, Space Invaders & Outrun!

They have an extensive tour list that literally goes worldwide – you can see the complete list here.