I will start with a list of my favorite comedy podcasts
The champs with moshe kasher and neal brennan (now defunct, but has a lot of great episodes)
The dollop with dave anthony and gareth reynolds, this is a history/comedy podcast wuere dave reads a story from history and his cohost reacts to the story and does improv during the story.
Cum town with nick mullen, stavros halkias and adam friedland. This is a sort of hangout podcast where 3 friends tease eachother and shoot the shit, do impromptu bits and just goof around. This one is more explicit to those who dislike that kinda stuff.
The duncan trussell family hour, with duncan trussell a comedian/new aged spiritually active person who interviews everyone from other comics to spiritual guides, tech people, psychologists, etc. A really mixed podcast that gets into all kinds of metaphysical topics
The bonfire with big jay oakerson and dan soder, this is a sirius talk show, average drive time radio format, but hilariously funny
Improv4humans, a 4 person improv podcast with matt bessar. They do long form improv sketches over the course of the episode, sometimes with a musical guest. Very funny and unique kind of comedt podcast
Comedy bang bang with scott auckerman. This is one of the greatest comedy podcasts of all time. Its structured as a fake talk show with all sorts of random guests and celebrities stopping by to do more long form comedy imrpov in the loose format of a talk show. If you like comedy podcasts i cant recommend this one enough, it has amazing character work from some of the best comedians around. Cant say enough good things, this show is amazing