I don't think I've heard many podcasts with actual radio-style ad breaks, but there are plenty with sponsors (e.g. TWiT, DevChat.tv, Spec.fm, Jupiter Broadcasting -- except for Tech Talk Today and Unfilter which are Patreon-supported).

Luckily with the podcasts I'm subscribed to most of the sponsors tend to be relevant to the actual shows. The only irrelevant sponsor I recall is Ting (a Canada-based US mobile provider I think).