Headphones (cans) are a very deep rabbit hole, and everyone will likely post the ones that they have because they like them.
I went deep into headphone listening about 10 years ago and have owned everything from Sennheisser to AKG to Bose to Grado.
If you want real sound quality don't buy Bose, Skullcandy, Dr. Dre, or anything with a person's name attached to it.
The rest you simply need to try. I sold all of my cans except for my Sennheisers because I love the way they sound. I do not like the Grado sound, and while I liked the AKGs I didn't like they way they sat on my ears.
Note that over-ear headphones are either circum-aural or supra-aural which means they either go around your ears (like Sennheisers) or they sit on your ears (like Grado).
Headphones are either closed-back (other people are isolated from what you hear and vice-versa) or open-back (other people can hear and you can hear them).
Next, you need to decide if you want headphones that require an amp. If you're going to just plug into your smartphone (assuming there's still a jack there) then you need a low-impedence (around 35 ohms) set, while if you're using them for a stereo or serious amplified listening, then you want a high-impedence (usually around 300 ohms) set.
Then you need to see if you like the way they feel.
Oh, and how much do you want to spend? For my Grace m903 amp I like Sennheiser HD600s which are about $300. For TV listening I like my Sennheiser HD280s which were about $100.
If you want bluetooth and noise cancelling, I like Sony WH-1000XM5s, but they're about $400 The XM4s are good two (they're paireed to my upstairs TV) and are $350.