I currently have the beyer 770/80 and am looking for even more sub bass and that oh so deep rumble. I really wouldn't mind a bit of a spike from 80hz and below. Punchiness is nice but I really like that chesty rumble.
Models that come to mind are:
Sony XB500s (I had the XB1000s and they were horribly muddy, so this may be ruled out)
If you have owned any of these, or especially 2 of them and can compare PLEASE take the time to compare them so I can rule specific cans in/out of my list above. I don't want any/much mud or sharp upward treble spikes. That said I think I could tolerate a bit of each if the sub bass is amazing.