Sturdy over-ear headphones from TIE that rests nicely over your ears. These could work equally well for music and podcasts.
From Amazon
TIE studio headphones semi-open circumaural for radio, recording studio, podcast and multimedia applications (3m, 3.5mm jack plug, 6.3mm screw adapter)
Conrad Electronic
Tie Studio THP-580 Studio Over-ear headphones Corded (1075100) Black
Gear 4 Music
Tie Studio THP-580 Studio Headphone