Massively depends on what you're into.

That said, I follow these podcasts:

News related comedy:

• Wait Wait Don't Tell Me from NPR
• Friday Night Comedy from BBC Radio 4
• The Bugle
• Breaking The News from BBC Scotland

DnD:

• Dicefunk (I recommend seasons 3 & 4 in particular)

Puns:

• Punwatch
• (also The Bugle sometimes)

Science communication:

• The Infinite Monkey Cage
• Daniel And Jorge Explain The Universe
• The Curious Cases Of Rutherford & Fry
• Supermassive
• A Problem Squared
• Creature Feature
• My Favourite Theorem

About Media:

• Failure To Launch, about TV pilots that failed to become full series
• Get Played, originally called "How Did This Get Played?" and focused on the worst games ever made, now about games in general
• Dream Factory, about plots of non-existing movies

Security/Hacking:

• Malicious Life
• Darknet Diaries
• Human Factor Security

History:

• You're Dead To Me