No, I don't have Alfred E. Neuman ears but my phones, where the speaker pads are, touch the edge of my ears and after a while they begin to bother me. I have AKG K240s and I bought a pair of M-40s when they were on sale a couple of months age.
I have other phones that I use for other things. I can wear them all day. One pair are Sun Ray Pros, and a pair of Grey Ghost phones.
Do you know of any phones that have slightly deeper cups? I do have some adhesive "sweat bands". They are a felt sort of oval that sticks to the cups for when it is hot out and sweat is a problem, I've thought about adding (stacking) a couple to each cup on the M-40s, they are an oval cup and would fit but I don't really want to do that. I replaced the foam and rubber cup covers on the AKGs, I thought maybe the new ones would be more firm and keep them off my ear, but no. Maybe I will develop calluses on my ears.
Thanks for any ideas or suggestions.
J