It looks like old seasons will not be on Disney+. Boo.
Seems like to catch up I have to buy them on Amazon.
I've been doing a run through from Season 1 with Eccleston on HBO. I think I would rank these modern day doctors/series:
Tennant - I think I most prefer companion Donna episodes
Smith - the entire River Song stuff is great, huge story arcs and touching moments
Eccleston - solid story arc, Rose is great
Whittaker - She's very likable, but the show is even more preachy and repetitive. Oh another Dalek or Cybermen episode.... again....
Capaldi - So hard to watch. Once the Impossible Girl stuff was over with Clara, it was a mess