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

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And probably modded headbands, they sound amazing but I broke the headband after a few months and I haven't figured out what to do with them since. Flimsiest headphones I've ever put on my head.
If you're looking for decent wireless noise cancelling in that price category you can always grab a pair of Soundcore Q30 (or 35 if you can get them used/on sale) For plain old wired headphones in the $30-40 range you can always snag the Koss Porta Pros, or the KPH30i. They sound much better than you'd expect, especially if you swap out the pads. Moving up the price range you'll find things like the Audio Technica ATH-M50x (Wired or Wireless), Grado SR60/80 (Wired), Beyer Dynamics DT770 (Wired). These all sound different, ATH being more bass, Grado lots of Treble, and Beyers are flat. If you like thumpy headphones you can absolutely enjoy Skullcandy Crushers, or Marley over ears. The latter have a pretty solid build quality whereas the other are more affordable. Everyone has a preference, so just enjoy what sounds good to you. I would probably shy away from unreviewed no name headphones like those you linked, though!
Koss KPH30i: https://www.headphonezone.in/products/koss-kph30i Do more research about this headphone, I swear you won’t find anything better than this under ₹3k
Ahh in that case, unfortunately you won’t find anything that can provide good sound quality, your best bet is to stretch your budget by ₹1k and get JLAB JBUDS LUX ANC. In this price range it’s wise to just get a TWS earbud cos they provide better audio quality and the difference is actually huge. Oppo Enco Buds 3 Pro + is really good for ₹2.2k and if you strictly want a headset then JLABS for ₹4k. Under ₹3k, there’s Spigen SA HP P10 but it has horrible audio quality, I really cannot recommend it for music.
I've been using the KPH30i for just about two years now and I absolutely love them. I enjoy how easy they are to drive and how everything sounds when I put them on.
Looks wise they really are a vibe, and sometimes when you are out and about it's okay, if not ideal, to wear a pair of cheapo headphones that are not too expensive if they break. Bringing a pair of expensive ones and hitting sudden rainfall sounds like an overall crap scenario An upgrade for later would probably be some cheaper KOSS headphones, instead of the Porta Pros. Like, the KPH40 are half the price and still sound pretty nice, and I personally swear by the KPH30i. Cost me less than $30 and they both sound nice for that price and I'm not afraid of them breaking.
KPH30i from Koss. Music makes sense on them. I also like the Moondrop Space Travel a lot. Can't complain at that price.

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