I forgot to add - welcome to the forum!
I have some headphones that I consider nice, but I'm no expert. I tend to trust the opinions of a member here,
jamie2112 who works as a sound engineer (sorry if I got that title wrong, Jamie!).
For years, I've seen him recommend the Sony MDR7506 (about $90, including at
Amazon). I have a similar pair that I really enjoyed in college.
Recently, he started on a thread on the
Ultrasone Pro 900. He really liked them. However, they are quite a bit more and over your stated budget at about $400.