the in our time podcast discusses heaps of classics with a panel of experts, great way to hear what academics have been thinking about texts and the key themes they draw out. it's really chaotic because they have to get through a lot in a short time and the host (melvyn bragg) is always pressing them to give a straight answer.
the secret life of books podcast is also really good, they discuss the backstory and context of classics and how they contribute the books overall identity, but also its legacy.
i'm sure there's heaps more out there but these two are quite in depth when it comes to easily available literary analysis !