Smith is easily the best thing about Pride and Prejudice and Zombies, though it does feel like he's reprising the Doctor. Unfortunately, he's not in it that much.
The Netflix series is The Crown. He and Claire Foy left the series after two seasons; the plan is to recast the roles every two years so the characters can age. I don't recall if the new actor for Prince Philip has been named. Olivia Coleman is replacing Foy as Elizabeth.
The Crown is very good, Foy is amazing as Elizabeth but Matt's wonderful as Phillip where his ability to channel youthful glee but also old man level grumpiness works perfectly. Also, and I didn't realise this till he grew a beard in season 2, but damn he looks like Prince Harry!