So my interest now has gone to the classic series. I haven't seen any of them. I think I'm going to watch the first ever episode first, then maybe find out which episodes first introduced the classic enemies, and watch those.
Are there any classic episodes I should definitely watch? Also, are there any newer episodes that are really good? I actually really like Peter Capaldi as an actor, but I haven't seen any of his Doctor Who episodes; are there any highlights? I look forward to anyone's recommendations!
There are loads of great classic series stories, but some personal favourites that I'd recommend as a starting place are:
Pyramids of Mars (the pinnacle of the show's gothic horror era, in my opinion)
Seeds of Doom (basically The Doctor vs The Thing)
City of Death (very entertaining story written by Douglas Adams)
The Deadly Assassin (our best look at the Doctor interacting with Time Lord society)
The Mind Robber (surreal and inventive story)
The Krotons (not a top-tier story, but I have a soft spot for it)
Spearhead From Space (Pertwee hits the ground running in his first story, the first auton story, and the only classic story shot entirely on film (due to a strike at the BBC!))
Doctor Who and the Silurians (first silurian story, and vastly superior to any of their new series appearances)
Image of the Fendahl (another great gothic horror, and one where the Doctor oddly feels like a minor character)
The Curse of Fenric (atmospheric, tense story, and adds to the Doctor's mythology)
Ghost Light (very strange story that probably needs more than one viewing to fully appreciate)
Dalek recommendations:
The Daleks (first appearance)
Genesis of the Daleks (Davros's first appearance)
Remembrance of the Daleks (another that adds to the Doctor's mythology, plus an awesome dalek civil war)
Cybermen recommendations:
Earthshock
Tomb of the Cybermen
I'd actually recommend skipping Tenth Planet until you have plenty of classic series stories under your belt, despite it being both the first cybermen story and the first regeneration story, since it's rather weak.
Capaldi recommendations (most of his run was good, but these especially):
Face the Raven/Heaven Sent/Hell Bent (three parter, with Heaven Sent being one of the contenders for best episode of Doctor Who ever)
The Caretaker
The Zygon Invasion/The Zygon Inversion
World Enough and Time (very, very creepy story)
Matt Smith recommendations:
The Eleventh Hour
Amy's Choice
The Impossible Astronaut/The Day of the Moon
The Doctor's Wife
The Girl Who Waited
The Name of the Doctor
Day of the Doctor
A Christmas Carol
Basically I could waffle on about this show forever.