I've been getting back into podcasts with the advent of a great app for iPhone called Overcast that works WAY WAY better than the built-in iOS one that put me off, and has a bunch of cool playback settings like "Smart Speed" which shortens silences without changing the actual playback speed otherwise. (Highly recommended.) Having a renewed interest, I'm grateful to this thread for turning me on to some of them.
I've got a bunch in my list I have yet to even really get to, but the standouts to me have been:
Welcome to Night Vale - Haven't seen this mentioned here -- which is surprising considering how much I heard about it prior to listening. A fun ongoing story in the style of community radio updates of the local goings on of a fictional desert town where, in the words of the creator, "All conspiracy theories are true - and we go from there." It's surreal, Lovecraftian, funny and scary and often heartfelt all at once. I got hooked in the first few episodes and plowed through the rest of them straight through, and now await each new biweekly episode with semi-patience.
How Did This Get Made - I'll throw in my love for this one as well. I appreciate this show not just because it's funny, but because they approach movies the same way we do -- taking them on their own terms as much as possible, while still being critical and more than happy to mock away. Sometimes they're frustrating because they get hung up on a point of contention that's actually a result of them misunderstanding something in the film, but of course our listeners would be quick to point out that's also approaching movies the same way we do. I'm about halfway through the backlog and the only complaint I've got is that the sponsored ad breaks are a bit annoying and becoming lengthier as the show goes on, but a few taps of the "jump forward 15 seconds" button make quick work of them. The only episode I couldn't listen to was 88 MINUTES, because their guest host Pete Holmes was WAY too manic and obnoxious.
We Have Concerns - a fairly new podcast by a couple of guys I guess are probably known in certain circles (gaming, I get the impression) but are new to me, they talk about new science/technology news from a pros-cons perspective -- though, despite the impression you might get from the name, it's often mostly pros. They're extremely positive, upbeat, witty guys who you can tell just have fun talking to each other, and that makes it fun to listen to. I laugh aloud every episode. I liked them so much I jumped on board to support them on Patreon, and if you give them a listen I think there's a good chance you'll do the same.
Tons more I'm planning to get to, but those are the ones that are consistent must-listens for me as of the last few months.