I currently have Audiotechnica ATH-M50 connected to a Hegel Super USB dac and they sound fine, although I need better. I mainly listen to film/game music (Jerry Goldsmith, John Williams, Henry Mancini, Hans Zimmer, Jeremy Soule) and I also listen to some jazz and classical + some 80s pop/rock music for my nostalgia.
I|m happy with the DAC, but I want to upgrade my headphones. The M50 is perhaps better for pop/rock than film music or classical. I feel there's something "off" and would like a more balanced listening experience. I don't have a set budget. I've been looking for headphones from $150 to around $800.