
Sennheiser
HD 560S
Budget gaming king with clear sound, but tight fit.

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Having DT770 pro 250 Omh since 2020, replaced only cushions once.
Depends how loud your keyboard is tbh. Closed backs for gaming are a lot better on PC. I had 1770 Pros for gaming/mixing before but there was a huge discount on 1990 Pros and the 1770 Pros had way too much bass for mastering I so went for those and gave the 1770 pros to my wife. I had to buy new keyboard because I had MX blues and gaming was horrible on open backs and loud switches. I still kinda prefer the 1770 for gaming tbh as they isolate better. For mixing and mastering the 1990 pros are perfect and for gaming as well after getting silent switches. But for budget I would go with DT 770 Pro 250Ohm and pair them with ifi zen dac v2. I made testing with 1770 Pros and 770 Pros on ifi zen dac V2 and the difference wasnt that huge I was expecting (the 770 were decade old lol). https://youtu.be/5nQ4Za2Qd6U?si=xCDnnywE-Gdw9lgS When it comes to gaming they are really good. I used to play a lot of competitive fps before (OW1, Cod, CS) and all games I played I reached top 1% so no complaining.
If you really want riddiclous bass out of headphones ifi zen dac is pretty much what you need. The DAC itself will cost 2500 kr. I used to run it with 250ohm DT 770 Pros and it had a lot of bass. This setup will cost you 5000 kr tho. Its going to be little expensive but its future proof. Will last you years and if you get bored to the headphones you can upgrade them later on. If budget is really tight you can go for 250Ohm DT770 pros and Fiio K11 which will cost around 3000 kr from black market deals.
Never went back to BT for gaming once I realized how much delay there was, cant stress it enough that wired is simply better and that the cable is not noticeable overtime. I really enjoy my Beyerdynamic dt770 pro’s (250ohm version specifically) for both gaming and music listening… even more than my previous headphone, the AudioTechnica R70x, which is literally double the price
Closed backs win always for me for recording, mixing, playing electric guitar especially in jam sessions, listening in public especially on trains or just chilling out at home listening through my dac/amp on laptop or phone or stereo amp when I can’t be noisy. My go too’s are always 250ohm Beyerdynamics either the 770’s or 1770’s, the 1770’s live in my small home studio room. What I don’t like about closed backs is sometimes I do get eat fatigue after a while which I assume is due to the air pressure being solely focused towards the ear drums. When this happens I just switch to my studio monitors for a rest for a while. I have used Beyer’s for so long I know what to do with them as a recording reference point. This year I do plan on purchasing some open-backs to change things up, will probably start with the Sennheiser HD 800S or 820’s and heard hood things about the FiiO FT7’s so one driver based and one planar based. Also I may get the 1990’s as I know they are good. Also looking at getting a pair of Fostex closed backs but need to look at some reviews and trial them a few times before jumping in. I find closed backs do better for monitoring stereo field panning.
I've had mine in 250 ohm since 2011, also daily use, upgraded the pads once
I have a pair of DT 770 Pro (250 Ohm) with a DAC that I use both for gaming and music. I love them

Sennheiser
HD 560S
Budget gaming king with clear sound, but tight fit.

Sony
WH-1000XM4
ANC king, durable, but unreliable mic and touch controls.

Sennheiser
HD 6XX
Legendary mids, durable, but narrow soundstage and weak bass.

Sennheiser
HD 490 PRO
Super comfortable, wide soundstage for gaming, versatile pads.

Sennheiser
HD 599
Super comfortable, easy to drive, wide soundstage, open-back.

Ranked #1
Sennheiser - HD 6XX

Ranked #1
FiiO - FT1 Closed-back Headphones

Ranked #1
Sennheiser - HD 560S

Ranked #1
Sony - MDR-7506

Ranked #1
Sony - WH-1000XM4

Ranked #1
Sennheiser - HD 560S