I haven't listened to the ESPN one yet, but i love Puck Soup with Wysch and Lozo. I think they are funny but it isn't always just hockey.
Biscuits, is another good one with Lozo and Sean McIndone (down goes Brown). It's a little more serious although they like to complain about the league.
I'm interested in hearing everybody's podcast recommendations too. Partly agree with your comments about Puck Soup. I find both Wysh and Lozo incredibly smug , and disagree with many of their actual hockey opinions, but it can be pretty funny and entertaining at times. Although I do like the other Wysh podcast, Marek vs. Wysh. The Down Goes Brown guy's negative charisma kills Biscuits for me. Only listened to the first 2 or 3 episodes of it though, so maybe it gets better?
PDOcast is another one, although it's pretty hit or miss. The host is a complete cipher (which is fine), so it depends on the guest really. The podcasts with the more established, professional guys (Marek, Custance, Johnson), or even a guy like Tyler Dellow are usually pretty good. The ones with random twitter analytic guys are often terrible though. They're generally knowledgeable about the team they follow, but it's no more insightful than a random thread on the HF Edmonton or Winnipeg boards.
There's a handful of Hawk specific podcasts too of varying quality.