I pretty much always have a podcast on when I'm driving with 14 yr old DS. He likes...
Freakonomics
Hidden Brain
Overdue (two young guys talking about books, some are adult books but they also do a lot of kids/YA books)
It's Been a Minute - the Friday episode is a good overview/discussion of the week's events, conversational tone, and always ends on an up beat because they play clips from listeners who called in to say the best thing that happened to them that week.
Pop Culture Happy Hour
Planet Money, and the new Planet Money Indicator -- this one is short so good for short drives if your kid finds it hard to listen to a longer podcast over short listening sessions.
I listen to a ton of podcasts so when we finish something I"ll let him pick from what I have downloaded. I'm often surprised at what interests him -- he wanted to listen to a Freakonomics series about CEOs (we're on ep. 4 right now). Other times, if I've listened to something that I think would be good for him to hear I set it to "just happen" to be on that when we get in the car (e.g. when he was having a hard time with a decision, I heard a Hidden Brain segment about research that addressed exactly what he was dealing with).
Anonymous
03/09/2018 16:05
Subject: Family friendly podcast recs?
Wait wait don’t tell me is on th edge but my teens like it.
Try the This American Life episodes that don't focus on politics or other "grownup" issues. I think they'd especially get a kick out of the one called "Kid Logic." "Notes from Camp" is great especially if they go to sleep-away camp.