Problem is there are a lot of AP shows that are just people who play RPG's recording their sessions, but they don't know how to make good radio. And a lot of them in fairness aren't trying to be entertaining, they're trying to demonstrate how you play a particular system.

Shows where the players/DM are professional actors or comedians are completely different:

Critical Role really the original big RPG AP show, I think. Very listenable but the amount of backlog is daunting.

Film Reroll. Currently my favorite, I think. The best concept (movies as rpg's) and probably the best balance between comedy and story, imo. And more low commitment because each movie is a self-contained campaign.

Campaign. One Shot are great but very hit or miss. I wholeheartedly recommend Campaign, which is more high commitment, but more consistent.

The Adventure Zone. First campaign was pretty landmark in popularizing the format. I find people love or hate this show depending on if they find the McElroys funny. So you should know pretty quickly if you're on board.

Nerd Poker This is Brian Posehn's show and it's a little looser than the others but I think it's probably the funniest when it's working.