There are some game music that I listen to regualary outside of playing the actual game. For most of them, picking one track as an example is difficult.
League of legends
On its way to be the best soundtrack in any game imo. Many of the different login music is just awesome. I like that a lot of the songs have singing without any words. It gives the music a better human emotional connection without using text. I use a lot of the more pumped up beats on my running playlist.
Donkey Kong Country series
No other game series come close in how much I listen to the music. The tracks works so well as background music for work.
Chrono trigger
Not much to say. This games music is praised for a reason. Only played the game once but revisit it through the music.
Super Mario Galaxy games
Ah! Bringing a full orcestra to the Mario series. Still have one of the melodies as my wake up signal.
Starcraft
God-tier RTS game. Awesome-tier music. Beat Diablo 1 to the list.
Then there is music that is great but more to set the tone and atmosphere of the game. Without the music the game experience would be much different. That is ofcourse true for most games, but extra so for the second five.
Resident Evil 4
The sense of stress that some of the music from this gives me. Not that many actual melodies in there, but boy, do I like the music anyway. And it's not like I'm going to keep this game out of any list it can be part of.
Metroid prime
Never actually played this more than a few hours. Did play a massive amout of metroid prime pinbal for some reason though. The music alone makes me think I'm on a different planet.
Ace Attorney series
The music quality in the games vary a lot. But it is great at enhancing the different scenes.
Eternal darkness
In a game where you question your own mind. This track stands out as giving your thoughts some rest. It almost sounds like history is being written. And yes, I pretty much added the game here just because of this one theme.
Halo series
Great music all around. But since I love no word vocals.
Honorble mention to the Super Smash games for collecting top tier tracks from many different series.