Last Podcast is great. For true crime, I also listen to My Favorite Murder.
RadioLab and Invisibilia are my go-to pods for weird informational stuff.
Good Job Brain hasn't uploaded in a while, but that's a trivia podcast that I really like.
For just comedy purposes, I like Monday Morning Podcast (Bill Burr), Congratulations (Chris D'Elia), TigerBelly (Bobby Lee), Cox n' Crendor in the Morning(Jesse Cox and wowcrendor), and Cashing in With T.J. Miller (and Cash Levy).
I also listen to a shit ton of wrestling podcasts: The Jim Ross Report, Something to Wrestle With Bruce Prichard, Solomonster Sounds Off, The Jim Cornette Experience and the Cornette Drive-Thru, Cultaholic, and occasionally the Steve Austin Show and Talk is Jericho.
And my sports talk podcasts are Pardon the Interruption and The Tony Kornheiser Show.