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Whenever this question pops up, I always suggest the music from LucasArts' Outlaws.
The Fallout 1 and 2 OSTs are both excellent.
More recently I quite liked the soundtracks to Machinarium and Bastion.
FInal Fantasy 8, while plagued with multiple severe design decisions (level scaling being one of them), does have some nice music. In particular, there is:

Don't Be Afraid (random battle theme, in 5/4 time, I think the meter is occasionally broken here)
Premonition (somewhat discordant in just the right way, also occasionally breaks its meter)
The Legendary Beast (much more regular and regimented than Premonition, provides a nice contrast to it during the final battle, where you hear them in this order)

Also, speaking of music in interesting time signatures, here's one I happen to like from Castlevania: Symphony of the Night:
Finale Toccata (5/4 organ music, you really should listen to the whole track; this song is often considered overused given how many areas it plays in, but you typically don't spend enough time to hear the whole track before the next music stop or change, as it's about 5 minutes long)
(Of course, that soundtrack has other great music in it as well.)
I became an addict to synthwave since the first time I played Hotline Miami. I did not even like the game, was there just for the music...
I really enjoyed the music in NieR: Automata. Even bought the OST.
They all become favorites if you listen,long enough.I whistle some at work and work mates say ''I know that game''....and then the boss starts whinging about us talking too long.
Baldur's Gate Character Creator Screen music
Daggerfall Storekeeper music
Final Fantasy 8 Balamb Garden theme and Boss fight music
Final Fantasy 9
Pax Imperia Eminent Domain minus battle music.
Disciples 2
Dark Sun 2
Planescape Torment Fall-from-Grace theme
Post edited January 07, 2018 by DavidOrion93
Trine 1, all of it, but especially Dragon Graveyard, Tower of Sarek (ouch) and this movement in Forsaken Dungeon which I swear cured me on the spot when I was sick in a suburban bus.

Immortal Defense (1) (2) (3) (they get even better when you're killing aliens to them)

Anodyne boss battle

I thought the future would be cooler from The Metronomicon (warning: too cool to appear on the actual Metronomicon soundtrack)

Buccaneer, also from The Metronomicon, which does appear

This version of The Flying Machine from Shovel Knight

La-Mulana: lots of great songs, Sabbat is the one I'm listening to on repeat the most
Post edited January 07, 2018 by Starmaker
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cschock: More recently I quite liked the soundtracks to Machinarium and Bastion.
Thank goodness, I was worried when no one mentioned Bastion for the first two pages.

Also, individual track, Festival of Immortals from Divinity 2. R.I.P. Kirill Pokrovsky, he also did the OST for Divinity: Original Sin (not sure about the earlier Divinity games).
Here are some more. For this post (only) I am going to restrict my selections to works by female composers; it turns out that, in Japan, there are quite a few of them, and many have composed music for well known games.

First, there's Castlevania: Symphony of the Night. Aside from Finale Toccata, which I mentioned earlier, there's also the *other* track that plays in a lot of areas, Lost Painting. There's also Wood Carving Partita (library theme that features the harpsichord), Dance of Gold (Alchemy Lab music), and Tower of Myst (Outer Wall music).

Then there's also the Gargoyle's Quest series. The first game has a lot of baroque style music, like Dark Road, which I will post a link to:
https://www.youtube.com/watch?v=nvN0elzk-yo

Gargoyle's Quest 2 feels like it has a different style, despite having the same composer (or one of them, rather). Here's Ghoul Dwellin:
https://www.youtube.com/watch?v=FCh57MHZpYc

I could also mention, from Super Mario RPG (composer Yoko Shimomura), Beware the Forest Mushrooms.

Finally, I can point out that the composer for the original Mega Man (Manami Matsumae) was a woman, and she contributed two tracks to the Shovel Knight soundtrack, including Flowers of Antimony (the music for Plague Knight's stage), which has a bunch of variations and remixes in the expansions (don't forget the one from Specter of Torment!).

As one can see, there's plenty of video game music composed by women, and many of these are not what I would call obscure.
That reminds me that the PC version of Robocop 3 had pretty good music too... provided you had a Roland MT-32.

https://www.youtube.com/watch?v=vls1qA8A2vw#t=385
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timppu: That reminds me that the PC version of Robocop 3 had pretty good music too... provided you had a Roland MT-32.

https://www.youtube.com/watch?v=vls1qA8A2vw#t=385
Yeah it's pretty cool, shame about the choppy playback in that clip though.
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timppu: That reminds me that the PC version of Robocop 3 had pretty good music too... provided you had a Roland MT-32.

https://www.youtube.com/watch?v=vls1qA8A2vw#t=385
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ResidentLeever: Yeah it's pretty cool, shame about the choppy playback in that clip though.
Do you mean the audio? Plays fine here.

If you mean the gameplay, well, that is easily fixed by giving DOSBox extra CPU cycles with Ctrl-F12. :) For some reason that individual had decided to play it at choppy speeds for the video, or not sure if it was the video encoding too (e.g. when I encoded some DOS gameplay videos, they appeared choppier on the video than the actual gameplay, as apparently it was deliberately leaving out frames to save space or something...).
Post edited January 12, 2018 by timppu
Atm I'm enjoying the Mech Warrior 2 soundtrack:
https://www.youtube.com/playlist?list=PL3E409CD81FFF6F55
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ResidentLeever: Yeah it's pretty cool, shame about the choppy playback in that clip though.
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timppu: Do you mean the audio? Plays fine here.

If you mean the gameplay, well, that is easily fixed by giving DOSBox extra CPU cycles with Ctrl-F12. :) For some reason that individual had decided to play it at choppy speeds for the video, or not sure if it was the video encoding too (e.g. when I encoded some DOS gameplay videos, they appeared choppier on the video than the actual gameplay, as apparently it was deliberately leaving out frames to save space or something...).
Yes, the audio is pretty choppy. Like every 5 seconds there's a skip.
Post edited January 12, 2018 by ResidentLeever
Banana Tiger from The Witcher 3 and the entire Outlaws soundtrack are the first that come to mind