The only issue I've ever found with the DT880's response is the spike between 5-6 kHz. It's easy to get rid of with a parametric EQ, and depending on which genres you like, it can be benign enough not to have to bother with the EQ.
That said, we all have different tastes, obviously, and different expectations. I like clean, uncluttered, and airy sound--bass impact is less important to me. The DT880 is a little below baseline, IMO, on the low end, but I definitely don't find it anemic. In all other respects it delivers for me. I can certainly see how somebody could find it too bright or not strong enough in the bass or too dry-sounding, though.