I haven't done a very good of posting about other podcasts that are relevant to the Brain Science Podcast, but here are a few you might enjoy: 

The July 27 edition of Science Friday included a discussion of discoveries related to depression and language acquisition.

The July 14 episode of All in The Mind addresses the nature versus nurture question.

The July 13 episode of the Science Magazine Podcast includes recent research on autism, and a discussion of the question of memory suppression.

There is also an interesting discussion of depression on the July 14 episode of the Science Show.

I have mentioned all of these podcasts in the past.  It is interesting that both All in the Mind and the Science Show come from Australia.  These shows are both consistently worthwhile. Transcripts are available on their websites.