I am a big fan of the HyperX Cloud lineup. I have tried out many versions (the Cloud, Cloud II, CloudX, Cloud Pro, and the Core). They all have their own little advantages, but one thing is consistent - comfort. These are hands down the most comfortable headsets you can get in this price range. I have played for 4+ hours without any fatigue or ear discomfort. They are clearly well built. It's an aluminum frame, so I need not worry about broken plastic. The cord has a woven sleeve, the mic boom is sturdy while still remaining bendable, and the ear cups are plush.
I picked up the Cloud Core on sale for $60, and it is an amazing value (even at its normal $70). The headset comes with a detachable mic, a single 3.5mm connector, and PC Y splitter cable. I can plug the headset straight into my XBOX One Controller (I have the updated controller with the 3.5mm jack), or I can plug the Y splitter cable into my computer. There are no other frills to this headset, but to be honest, I don't think you need anything more.
I have had a really good experience with the sound and mic quality of the headset. I use it to play XBOX late at night, so I won't wake up my wife and kids. I normally play with my 7.1 setup, so I was unsure about stepping down to a stereo headset. I was very impressed with the sound quality of the drivers. Nothing seems overblown, the speakers aren't tinny, the bass is just right, and everything is nice and clear. My teammates have no complaints for the mic. They don't hear any background noise, and my voice comes through perfectly clear.
This headset is the base model for the lineup. It doesn't come with any volume control (like the Cloud I volume box, the Cloud II USB sound card, or the CloudX in-line volume knob), carrying case, or extra ear cups (you can order replacements for $10 from HyperX). However, my headset will never leave the house (no case needed), I have a a high end MOBO w/ Creative Soundblaster Cinema3 onboard (no USB sound card needed), my keyboard has a volume control (no volume control box needed), and I can quickly adjust the volume/balance through the XBOX menu (no inline control needed). The headset supports mic monitoring through the XBOX controller 3.5mm plug (can't use the stereo adapter if you want this feature - you need the full chat pad or the Turtle Beach adapter for mic monitoring).
The Core fit all of my needs. If you absolutely need the other things I listed above, then by all means. But if you find yourself in a similar situation as myself, then the Cloud Core is perfect.