I generally listen to podcasts rather than music and have one on the go most of the time. Dominated by an interest in football, cinema, the arts, science and sceptical thinking, good journalisma and technology.
My current list:
Breaking Good: self explanatory - excellent podcast for Breaking Bad fans
The Conspiracy Skeptic - again, does what it says on the tin.
Th Infinite Monkey Cage - see other comments.
5 Live Football Daily (BBC) - can be annoying but a good catchup on what's going on.
The Anfield Wrap - no comment required
Books & Nachos/Now Playing - Now Playing do film reviews. The USP is that they will look at an upcoming new release and do a series on every related film. So they'll do the obvious such as the Avengers films, Marvel superheroes, Living Dead but they've also done series on every film based on a Phillip K Dick book.
http://www.nowplayingpodcast.com/archives.htm Books and Nachos is the companion series about the books/comics/graphic novels the films are based on.
Click - BBC technology podcast
Desert Island Discs - I'm still revising my list for when I finally get asked to do DID.
BBC Documentaries - hundreds of documentaries that I pick my way through.
The Film programme - BBC film show. Great complimentary podcast to Kermode and Mayo.
The Guardian Film Show - (I like film podcasts)
The Football Ramble - a bit repetitive and may give it up.
Football Weekly - Guardian football podcast with James Richardson.
Friday Night Comedy - BBC comedy, alternates between the Now Show and The News Quiz
From Our Own Correspondent - excellent reports from BBC reporters around the world.
Front Row Daily - BBC arts and media daily podcast.
Great Lives - BBC show with Matthew Parrish. Each episode has someone selecting a hero of theirs and they just talk about them with an expert. Bill Shankly, Kirsty MacColl, Shakespeare... fascinating to just listen and sometimes to be surprised about someone you've not heard about, or thought you knew.
The History of Rome - just finished this. 180 episodes starting at the beginning and ending at the end...
In Our Time with Melvyn Bragg - an eclectic programme about pretty much anything that takes his fancy. A panel of experts talk about The Moon, The Siege of Tenochtitlan, Robinson Crusoe, The Karma Sutra... you name it, they talk about it.
Kermode and Mayo - if you don't know or don't listen - shame on you.
BBC Drama of the Week - What it says on the tin.
Robert LLewellyn's CarPool - sadly no longer being made. If you haven't watched it do it. Its a treat. Robert Lewellyn (Kryten in Red Dwarf) drives someone somewhere with cameras in the car and they just chat.
The Skeptics Guide to the Universe - the Daddy of Sceptical podcasts with Steve Novella and his sceptical rogues. If you haven't listened to it and you have a brain I highly recommend it. And go back to the beginning to hear the wonderful Perry DeAngelis (who sadly died) and his views on who would win in a fight between monkeys and birds...
Tech Weekly - Guardian tech podcast. Highly recommended. Aleks Krotoski is one of the most interesting thinkers/commentators on the digital world around us.
The Game podcast - The Times football podcast with Gab Marcotti and occasional guest appearances from his boss Tony Evans.
The Tolkein Professor - a must for anyone interested in all things Tolkein. Professor Corey Olson is a professor of English and has series on how to read Tolkein, series on the books and the films. They are currently doing a series called Riddles in the Dark making predictions and reviewing the Hobbit films.
What the Papers Say - (yet another BBC programme) weekly review of the papers by a guest journalist. Originally on ITV it's been going since 1956 as a concept.
The Wired.co.uk Podcast. Podcast version of Wired magazine.
