My favorite music from video games are
The Last of Us Theme
This song brings back so many (emotional) memories, and it has a good apocalyptic vibe to it.
The Last of Us Left Behind: Left Behind [Together]
Another awesome song from The Last of Us, Another emotional song, This games story is amazing and I highly recommend it if you have a PS3 and haven't played it yet
Bioshock Infinite: God Only Knows (Barbershop Quartet)
Sounds awesome, gotta stop and listen to them sing this every time I play the game
GTA5: The Setup
Really catchy and seems like a perfect song for GTA
Skyrim: The Song of The Dragonborn
An epic song that makes me want to go on an adventure! Theres some lyrics if you want to sing it in Dragon Language
Those are some of my favorites, More include ones you've all already shared like Nates Theme from Uncharted and all the Kingdom Hearts songs are amazing as well. Awesome music can really improve a game even if its super amazing already