Lingthusiasm (Subscribe on Soundcloud or just listen)
The World in Words
Word for Word (Macquarie Dictionary Australia)
The Aussie English Podcast
That's what they say (Michigan Radio)
Talk the Talk podcast - a weekly show about linguistics, the science of language (Perth, Australia)
The Expressionists - a podcast about idioms
The Vocal Fries - a podcast about linguistic discrimination. Learn about how we judge other people's speech as a sneaky way to be racist, sexist, classist, etc. Carrie and Megan teach you how to stop being an accidental jerk.
The History of English
Animalogy podcasts Animalogy is a podcast about the animal-related words and expressions we use every day and how they reflect and affect our relationship with animals.
Subtext: a podcast about the linguistics of online dating (New; started March 2018)