Librivox if the website or app is unsatisfying
Iohannes Cienfuegos' Podcast- I would mostly recommend the Nepos
Sermones Raedarii By Alessandro Conti on itunes and on wordpress
Latinitium by Daniel Pettersson on the author's website and on itunes
In Foro Romano- Talk show format with three ladies
Nuntii Latini- ab Discipulis Occidentalis studiorum universitatis Vasintoniensis
Musaeolum- By Corrado Russo: various Latin texts read aloud
Quomodo Dicitur- Talk show format with three dudes
Philologia Perennis- Talk show format with 2 dudes and more focus on texts.
Legio XIII- Talk show format with 2 dudes. Noticeable Christian bent.
Not really a podcast, since its not available in the itunes library, but Scorpio Martianus's 7 Acta Diurna clips are also a series of short Latin news reports, much like the two Nuntii Latini above.