If you like the show, here’s some other podcasts you may be interested in.
Skepticality - This was the inspiration for this show. Promotes critical thinking.
The Infidel Guy - Show about atheism and other religious topics.
Point of Inquiry - Deals with pseudo-science, alternative medicine, and secularism vs religion.
These podcasts have nothing in common with LogicallyCritical, but you may still like them.
Escape Pod - Science fiction short stories in podcast form.
Scott Sigler - Author of several full-length Stephen King-esc (when he was good) podcast novels, including Earth Core, Infection, Ancestor, and the Rookie.
Foolish Human! Magic can never defeat science!
    Starscream
Well, he's got all the money in the world, but there's one thing he can't buy... a dinosaur!
    Homer Simpson
Pseudopod - Horror short stories in podcast form (Escape Pod’s sister podcast).
J.C. Hutchins - Author of 7th son: A suspense thriller podcast novel trilogy.
The Skeptics Guide to the Universe - discusses “the latest news and topics from the world of the paranormal, fringe science, and controversial claims from a scientific point of view.”