Classic Doctor Who, the wokeness there is very quaint for obvious reasons. It is amazing how many surreal scenes they could produce on a shoestring budget, and the scale of the action is small enough to be believable most of the time rather than it always being some universe-ending threat that the whole season was building towards. Also it was the time when stereotypical British humour wasn't worn out yet. Quite surprising to see that this show had the Borg (Cybermen) and the Vulcan Neck Pinch before Star Trek did.
You still have proto-woke themes like guns bad, the most iconic villains being bug-eyed Nazis, straw imperialists who call the locals "savages" before getting their asses kicked, rich people bad (but not always), thinly veiled environmentalist messaging, and the quirky cosmopolitan intellectual who pops in and solves everything with his genius, though Classic has the decency to downplay that last part in many episodes.
The First Doctor era is probably the least woke, fitting the classic Anglo "whig history" more than anything the Frankfurt School pushed. In "The Romans" (which takes place during Nero's reign) Christianity is portrayed as a progressive force that introduced kindness and humility to that harsh society for example, while "The Aztecs" strongly implies the Aztecs doomed themselves by doubling down on human sacrifice, while also showing that reforming such a society even with a lucky god disguise is no easy task. It does subscribe to 20th century leftist anthropology though, because a Roman slaver presents Ian and Barbara as being of the "Britannic Race", which only makes sense if you deny the Anglo-Saxon invasions' effect on the English gene pool like those diffusionist anthropologists did.