What are the best Video Game Soundtracks?

Every Supergiant game should be on this list,

NieR:Automata
FFVII (especially the 10 minute FFVII remake of One-Winged Angel)
Cyberpunk 2077 had some good ones. I'm digging I Really Want to Stay at Your House
Hades
Kingdom Hearts (Wave of Darkness is pretty great)

It's not my normal thing, but Doom's soundtrack really gets the juices flowing and fits beautifully with fast paced frantic gameplay.
Edit: 2016 Mick Gordon
- If you like DOOM's OST, have you looked at ULTRAKILL? It's similarly stupid high energy (though maybe less metal and more breakcore) for a similarly stupidly fast pace bloody shooter set in Hell

Chrono Trigger, of course. Some legendary tracks in there that transcend their limitations. The Deadbolt OST, Katana ZERO's OST. Nier Automata, Street Fighter V.
Oblivion and Skyrim as well. Really there are too many excellent game soundtracks to possibly list in a comment
- Came here to say Skyrim. God that soundtrack along with the gorgeous visuals from the game was breathtaking.
- Don't leave out Chrono Cross. Burning Orphanage still haunts me.

GTA Vice City

Hotline Miami. God damn, so good.
- Hotline Miami is great. Have you tried Katana Zero? My favorite ost from it is probably Chinatown and Sneaky driver
- I totally agree. I actually played the game after hearing the soundtrack. I had to see what sort of game would have music this sick. Careful listening to it while driving though. You'll get busted for speeding.
- Glad to see somebody else mention this. Hotline Miami 1 and 2 have some seriously great music. I listen to it for background music all the time.
- In the same vein as Hotline Miami: Try the game RUINER. Also love the soundtrack for it.

Here are my personal favorites:
AI War / AI War 2 - Pablo Vega
Dragon Quest series - Koichi Sugiyama
Final Fantasy VII - Nobuo Uematsu
Final Fantasy XI - Nobuo Uematsu and others
The Last of Us - Gustavo Santaolalla
Medal of Honor - Michael Giacchino
Offworld Trading Company - Christopher Tin
Stellaris - Andreas Waldetoft (I didn't notice that this game was just an idle clicker for a long time because the music was so damn good)
Tidalis - Pablo Vega (especially the piano versions)
A Valley Without Wind - Pablo Vega
- Stellaris is an idle clicker?
  
  Yeah wth, are the standards for idle clickers now so high that people start calling actual games idle clickers? I don't want it

Bloodborne has an amazing soundtrack. Here's an example of one of the epic songs:
https://youtube.com/watch?v=NHIkUzmNmc0
- I swear every fromsoft game has a 10/10 soundtrack

Persona 5 and 4. The soundtracks can stand on their own as just great music.
- Agreed on Persona 5, and I really need to play Persona 4 (it's on my list but stupid life gets in the way).
  Two other picks:
  The original Lunar: The Silver Star on SegaCD. I never played the remakes on other systems but I know they changed significant parts of the soundtrack in those games, while the SegaCD version just hit perfectly for me.
  Final Fantasy Tactics. One of the few soundtrack CDs I imported when those were a thing and could listen to and instantly recall fond memories of playing the game.
  
  Omg! I had Lunar on Sega CD too. It’s the game that got me into RPG’s.

Battleblock Theater (goat main menu track)
Hades (amazing combat music)
Hollow Knight (most atmospheric)
Undertale + Deltarune (great range, captures a lot of emotions throughout the story)

Donkey Kong Country. Good Jams!

Witcher 3. Surprised I haven't seen it yet. The vase game is totally the best in my ears, especially the Skellige soundtrack but the expansions are also a blast!
https://youtu.be/NknjE2SBPxw

Sonic Mania is one I always fall back on, the tracks are fun as hell and I don't think there's a single one I don't like. Shoutout to the Studiopolis act 1, Studiopolis act 2, and Press Garden act 2 tracks.
- Good picks! Studiopolis 1 and Metallic Madness 2 would be my favourites. Sonic CD (jp) is a really solid soundtrack too. Wish Mania 2 would be released with hopefully more CD remixes.
- +1 for Sonic Mania - added it to my vinyl collection a month or two back!

Resident Evil Outbreak -- Main Theme
Ico – You Were There
Tomb Raider -- Main Theme
MGS 3 – Way to Fall (Starsailor)
MGS 4 – Love Theme
Hollow Knight -- City of Tears
Grand Theft Auto III -- Main Theme
Furi – You're mine (Carpenter Brut)
Red Dead Redemption -- El Club de los Cuerpos (Bill Elm and Woody Jackson)
Gran Turismo 3: A-Spec -- Light Velocity (Isamu Ohira)
Commandos 2 -- A Storm is Coming (Mateo Pascual)
Assassin's Creed 2 – Ezio's Family (Jesper Kyd)
Hitman Contracts -- Main Menu Theme
Death Stranding – Death Stranding (CHVRCHES)
Mafia -- Running Man Song (Latcho Drom - La Verdine)
Fallout New Vegas -- Jingle Jangle Jingle
Age of Empires 2: Age of Kings -- Track 1
Age of Mythology -- Chocolate Outline, prostagma?
Silent Hill 2 – Promises/Theme of Laura
Tactics Ogre – Theme of Black Knight
Project Wingman – Kings (Jose Pavli)
Ace Combat 7 – Hush
ivalice
Ivalice Collection
Vagrant Story -- Wyvern Battle Theme
Final Fantasy Tactics -- Antipyretic
Final Fantasy XII – Battle on the Big Bridge
- Furi – You’re mine (Carpenter Brut)
  That's a hard banger right there. Thanks for sharing !

For licensed tracks, Burnout 3 Takedown wins it for me. Great driving music (obvs) and generally just a blast of uplifting pop punk.

Cyberpunk 2077,Doom 2016, Doom Eternal, Horizon Zero Dawn and Forbidden West, Zelda Breath of the Wild, and the Metal Gear Series.

Besides many of the ones others have listed, I really enjoy a lot of the music from Katamari Damacy.

C418 - Sweden

Some of my favourites:
NieR Automata
Katamari Damacy
Chrono Trigger
DOOM 2016
Celeste
Sonic Adventure 2
- That Katamari Damacy song still stuck in your head too?
  
  Haha always
- We Love Katamari might have a better soundtrack depending on the listener. I find myself humming more of We Loves soundtrack than the first game
  
  Oh fair! I've never actually played that one, only Katamari Damacy and Beautiful Katamari, I should check it out sometime

Uncharted for original soundtrack.
Burnout Paradise for licensed soundtrack.

Just of the top of my head:
Doom (2016) - BFG Division - Mick Gordon
Nier: Automata - 美シキ歌 (A beautiful Song) - Keigo Hoashi
Super Meat Boy - The Battle of Lil Slugger - Danny Baranowsky
Metal Gear Solid - Encounter - Takanari Ishiyama, Gigi Meroni, Kazuki Muraoka, Lee Jeon Myung and Hiroyuki Togo
Hades - No Escape - Darren Korb
- And remember you can purchase most of the game OST for download on Steam ! (Nier I've found on Amazon Music and Super Meat Boy on Bandcamp).
  
  Darren Korb is the master of video game music. Still listening to the Bastion OST on the regular.

Maybe this answer is cheating, but Smash Bros Ultimate has the best soundtrack of all time. It's got over 1000 tracks, including some of the most recognizable video games music of all time, and some amazing remixes.

Final Fantasy XIV

The legend of Zelda always had the most iconic themes (personal favorite is Dragonroost island from Wind waker, but they really all have some amazing music).
I also listen to the Chrono Trigger and Octopath traveler OSTs on my free time.
- TotK is absolutely insane tho, it's better than many Hollywood productions

Doom 2016, hotline Miami, neon white

Life is Strange soundtrack. That is, including all the licensed songs.
Was so good, got me into playing guitar.

Metal Gear Rising: Revengeance
My personal favorite is Stains of Time

Bastion

Mega Man 2. Can't believe I scrolled the whole comments and did not see Mega Man 2.
- Agreed, we're showing age though.

-Assassin's Creed Odyssey: Legend of the Eagle Bearer, The 300, Odyssey(Greek version).
-Assassin’s Creed Origins: Main theme, Return of the Medjay, Bayek of Siwa, The Shimmering Sands, The Battle of Krokodilopolis.
-Assassin’s Creed Valhalla: Main theme, Shadow Walker, Out of the North.
-Battlefield 1: Nothing Is Written, Avanti Savoia, Hunted, Cape Helles, Zeebrugge Harbour, Sand and Dust, In the Name of the Tsar, Grace and Glory, Sword in Hand.
-Battlefield V: Legacy Theme, Under No Flag, Far From Home, Spitfires, Rotterdam In Ruins, Devestation, I Vow To Thee My Country
-Battlefield 4: Warsaw Theme, Stutter theme, Jin Jie's Revolution, A Theme For Kjell, Fishing in Baku.
-Battlefield Bad Company 2: The Storm, Snowy Mountains, Operation Aurora.
-Call of Duty: Modern Warfare 2: Opening Titles, Extraction Point, Coup de Grace, Chain of Command, Esprit de Corps, Protocol.

Nier automata
- I second this, I keep coming back to the OST. It's so damn good.
- Yes! NieR Automata is one of my favourite OSTs ever

Risk of Rain 2 for GOAT Any supergiant game, but Transistor and Hades are a cut above

Morrowind. It's iconic.

The Ghost of Tsushima soundtrack takes me back to the game every time

Final Fantasy ix and X.
Their vibes just fit both the games respected themes and narratives.
Besaid Island from x is one of my all time favourites. Roses of red from ix a close second.
Bastion and Transistor also come to mind from Super Giant Games.

for me, WH40k Mechanicus probably has the best. Every track is awsome and fits the setting perfectly.
Here is a playlist of the soundtrack if you want a listen.

No Man's Sky

I thought Mass Effect had a great soundtrack that really fit the game perfectly. Moody in parts and rousing in others.
Mass Effect 1 Soundtrack

The WWE SmackDown VS RAW series had some great soundtracks.
Especially SvR 2007
- Animal I Have Become is a banger in that game.

Jet Set Radio Future is up there for me. Even twenty years later it sounds like it came from the future.

Hear me out.
MechWarrier 2.

Everything else here 100% deserves the credit but I didn't see anyone mention Divinity: Original Sin 2, which is also amazing.
Tons of little songs I found myself idly humming for days/weeks after playing and a thoroughly epic main theme.
The finale of the game where time slows down and the music swells is one of my favorite gaming moments.
- I had to scroll wayyyyy too far to find it. I absolutely love the soundtrack! And Baldur's Gate 3's music is also great so far. Not surprising as it's from the same artist(s) XD

Killer Instinct (original and 2013).

Tyrian 2000

Lots of good answers in this thread. Thank you for wording this in a way that allows me to post more than one answer, lol. I'll name a few I didn't see reading through here:
Talos Principle
System Shock remake
Metroid Prime
FF VI pixel remaster (all the pixel master OSTs are great, but VI got the most love)

Valheim!

Half Life 1 and Forsaken (1998).
Both of those CDROMs worked in normal CD players and they lived in my hifi for AGES

There are many I love but I gotta go with Evergrace. I know it's great because I've never played the game and am still always putting this one on.
Though if best means best in the context of the game then I'd probably have to go with Sim City 3000. The OST sounds fantastic and really captures the vibe of a city that is wires and plumbing sprouting into something living and breathing.

My favorites:
Command & Conquer (the first one)
Hearts of Iron 2
TES Morrowind
Valheim
- People talk up hell march but nothing beats just do it up https://piped.kavin.rocks/watch?v=cfAalQu9hvY
  
  I'm more of a Prepare for Battle kind of guy... that slow buildup preceding the awesome metalesque riff. chefs kiss