Hol. Lee. Cats.
According to Amazon US, in September 2016 the BBC released a 14-hour compilation of Jane’s published novels in dramatized audio format. While the release in the US is fairly new, the series was originally broadcasted on the BBC, starting in 2003, with rather unknowns Benedict Cumberbatch and David Tennant.
Additional actors include Julia McKenzie, Jenny Agutter, Toby Jones, Eve Best, and Juliet Stevenson.
(I’m also convinced James McAvoy plays Henry Crawford in Mansfield Park but I cannot find verification or a complete cast list.)
You can pick up the collection at Amazon either as CDs or in Audible. (If you do not have an Audible account, you can get the collection for $14.95 when you sign up. Be forwarned that the price is for a per month membership but you can cancel anytime and you get to keep your library.)