I'll start off with Raiden II's Repeated Tragedy.
A local restaurant had this game, and every time we went, I'd beg my parents for money so that I could play it. I wasn't very good at the game, so I never got past the first stage, and so I heard this song a lot. Really gives me nostalgia.
Also got to shout out Streets, from Timesplitters too. I put a lot of time into this game as a kid, and this song is what got me into futurepop (love me some VNV Nation).
I never played Pyre, but the two of them have definitely done some great songs. Zulf and Zia's songs in Bastion were great.
EDIT: the scene at the end where you
spoiler
Save Zulf while his song plays
brought a tear to my eye the first time through.
https://www.youtube.com/watch?v=TAWmSzN7Uf8 is probably my favorite Pyre song
I found a YouTube link in your comment. Here are links to the same video on alternative frontends that protect your privacy: