@aazad For neuroscience podcasts, I've enjoyed listening to "Brain science with Ginger Campbell". Each episode, she reads a neuroscience book and then brings the author on to discuss it.

I also enjoyed "Neuroscientists Talk Shop", which is more of a discussion of the state of the art with various neuroscientists.

Others I've listened to:
"Brain inspired" - the host has good guests on, slightly more focused on AI and neuro interaction

"Neurotech pub" - More neurotech focused, as name implies