I know something along this topic has been done, but rather than pick out your favorite songs, list your favorite video game soundtracks altogether.
My personal top 10.
#10 - Lost Odyssey [Xbox360]The music set to the 1000 years of dreams sequences sets the mood of the writing phenomenally well, and stands out prominently in this soundtrack. If you have a 360, do yourself a favor and check this game out. A good RPG, with wonderful writing thrown into the mix, and great mood setting ambiance to go with it.
#9 - Breath of Fire IV [PSX]A fantastic game with a fantastic soundtrack. Blending classical orchestras with eastern influence and even some techno mix, every battle and scene in this game is set with wonderful ear candy.
#8 - Suikoden II [PSX]Another example of east meets west orchestrations, this soundtrack is just phenomenal. Sadly the US release of this game was beset with a poor translation and a few bugs, which in two instances silenced the awesome soundtrack (One of which results in a singer preforming to dead silence *sob*) Still, even with those setbacks it's a wonderfull example music done right.
#7 - Legend of Zelda [NES]Pushing the quality of game music to its limit back in its day, and still wonderful to the ears now. I remember sitting back and waiting through the start screen to hear the classic theme over and over as a kid.
#6 - Halo Series [Xbox360]Brilliant orchestrated scores in a shooter? Yes please! In addition to the wonderful orchestra it's also set to rocking themes including many from Incubus, and heavy metallic percussion to set the perfect futuristic wartime mood.
#5 - Final Fantasy VIII [PSX]"Eyes on Me" was just beautiful, and set this one apart from the other FF soundtracks IMHO. Strangely, while many critical gamers trashed this installment for it's awkward GF battle system, and laughably cliché cast of angst filled teenage characters (Except Zell and Selphie, they carried the team on with gung ho enthusiasm!) this was actually my favorite Final Fantasy to date. One strong reason has to be the music, which in my opinion is still among the best Nobuo Uematsu has composed to date.
#4 - Kingdom Hearts Series [PS2]What do you get when you mix the New Japan Philharmonic Orchestra, Hikaru Utada, Yoko Shimomura, and dozens of classic Disney themes? The answer is pure gold, and that's the simple and clean truth.
#3 - Chrono Cross [PSX]From the opening sequence set to Time's Scar, to the ending credits set to Radical Dreamers, it's hard to find a single song in this entire arrangement that I don't love. Maybe Hurricane, but let's face it, with the exception of Breath of Fire IV, few games have battle tracks that don't become irritating by the time you finish them.
#2 - Secret of Mana [SNES]There were many days through Junior High and High School where I would play songs from this game in my head, passing the boredom by. Each track sets a different mood, ranging from the upbeat and cheerful 'Color of the Summer Sky' and 'What the Forest Taught Me', to the mysterious and magical 'A Wish' and 'Fear of the Heavens', to the eerie and macabre 'Ceremony' and 'The Oracle'. Over 40 tracks of brilliant music, for one of the greatest games of all time.
#1 - Chrono Trigger [SNES]Do I really need to say anything about this pick?