If you just want to block out sound without active noise cancellation, good over-ear headphones will naturally do that to some extent. This is called noise isolation, and it simply works from the earcups forming a good seal over your ears to prevent outside noise from getting in. It's not as effective, but it's less expensive than active noise cancellation and doesn't require power.

I’m looking for a pair of studio headphones but I can’t decide. I want to produce dance music on these headphones since I don’t have $$ for monitors. The three headphones that I read most positive reviews about are the Shure srh 840, GMP 8.35d and the KRK KNS-8400. I read the GMP 8.35d are the best but I can’t test them since no shop sells them in my area.
The Astro Gaming A50 emerged in 2012 as the wireless follow-up to the excellent A40. Seven years later and four generations on, they remain the gold standard for gaming audio. With an ability to faithfully reproduce 7.1 channel surround sound through just two earcups, gamers will get critical 3D audio for all of their favorite console titles whether it’s from an Xbox One or a PlayStation 4. Wireless audio can lead to an unacceptable amount of lag, which often sends gamers in search of wired models, but here too, the A50 manage to beat expectations.

That depends on what you’re using them for and how much you’re willing to spend. At the high-end, over-ear and in-ear headphones can both perform fantastically. For those of us not willing to spend thousands on headphones, over-ear headphones typically offer better bass response and a bigger soundstage, but in-ear headphones are significantly more portable and convenient — especially wireless earbuds.

Supra-aural headphones or on-ear headphones have pads that press against the ears, rather than around them. They were commonly bundled with personal stereos during the 1980s. This type of headphone generally tends to be smaller and lighter than circumaural headphones, resulting in less attenuation of outside noise. Supra-aural headphones can also lead to discomfort due to the pressure on the ear as compared to circumaural headphones that sit around the ear. Comfort may vary due to the earcup material.

Music keeps me energized all day (and into the night) at work — 70% electronica/dance/DNB, 20% rock, 5% hip hip and 5% other/classical — but I’m tired of low-quality sound and I’m ready to put my money where my ears are.  I want to buy a USB DAC + Headphone amp, buy headphones (or, per your recommendation, to buy 2 pair) to complement the amp and my choice of music, and get great desktop sound for around $350.
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The company is well known for bringing noise-canceling headphones to the general public — the QuietComfort Acoustic Noise Cancelling headphones were released in 2000 — and since then, it’s only continued to churn out industry-leading noise-canceling headphones. Its most recent iteration, the Noise Cancelling Headphones 700, might just be the best noise-canceling headphones, ever.
Released in 2015, the SoundLink Around-Ear II are Bose’s wireless over-ear headphones that don’t have active noise cancellation. They’re lighter and slightly more travel-friendly than a lot of the company’s other offerings, and they could sound quality at the forefront. At the time, the big selling point for the SoundLink Around-Ear II was their sound quality — Bose claimed that they sounded as good as wired headphones, which admittedly doesn’t hold up in 2019 (streaming and Bluetooth have gotten too good).
The rule that I use is that the bigger the size of the headphone, the bigger the need for amplification. Of course factors like driver sensitivity and impedance will matter, but the general rule of thumb is, use a dedicated headphone amplifier for a full size headphone. Even a portable amplifier can be enough, depending on the type of the headphones.
Headphones (or head-phones in the early days of telephony and radio) traditionally refer to a pair of small loudspeaker drivers worn on or around the head over a user's ears. They are electroacoustic transducers, which convert an electrical signal to a corresponding sound. Headphones let a single user listen to an audio source privately, in contrast to a loudspeaker, which emits sound into the open air for anyone nearby to hear. Headphones are also known as earspeakers, earphones[1] or, colloquially, cans.[2] Circumaural ('around the ear') and supra-aural ('over the ear') headphones use a band over the top of the head to hold the speakers in place. Another type, known as earbuds or earpieces[1] consist of individual units that plug into the user's ear canal. A third type are bone conduction headphones, which typically wrap around the back of the head and rest in front of the ear canal, leaving the ear canal open. In the context of telecommunication, a headset is a combination of headphone and microphone.