Rose: Nestene Consciousness, meet Ood Collective Brain, with similar harmless-things-becoming-murderers bit.
The End of the World: Companion gets taken into the future for the first time and freaks out in both bad and good ways.
The Long Game: References to the Fourth Great and Bountiful Etc., plus a company that's hiding a secret nobody asks too much about, and a character turning
out to be a secret anti-capitalist operative.
Boom Town: Alien which had a few things wrong with it from a story perspective revisited and given a more nuanced treatment; the Doctor's ethics called into question.
New Earth: the Face of Boe/Ood singing telepathically; the cat nuns' experimenting on people for what they claim is the common good versus the company's lobotomising the Ood for similar reasons, etc. Both have "...and then everything gets sorted out perfectly in five minutes," happy endings.
The Girl in the Fireplace: The Doctor's mind-meld trick.
The Impossible Planet/The Satan Pit: Ignore the obvious connection, and focus on a) the slaves-rising-up bit; b) the psychic-CGI-monster-in-a-pit bit; and c) the fact that Murray Gold, when forced to do music that's a bit off from his usual bombastic National-Orchestra-of-Wales default setting, actually turns into a really good composer; both the Firefly-influenced stuff there, and the Sensorites-influenced stuff here, are great.
Catchphrasewatch: "we're not married" again; the Doctor works in another teeny "bwilliant," though manages not to say "I'm so sorry" to the dying Ood on the hillside.
Old Skool Who: The Sensorites (leaving aside the namecheck, we have a psychic bald race who are extremely gentle and kind when not under outside influences); The Robots of Death (only without the twist that the beings supposedly being liberated are actually just being reprogrammed); Ghost Light (although transforming the vicar into a monkey made more scientific sense there than turning Lord Percy into an Ood here); Revelation of the Daleks (Graeme Harper again gives us an opening where the Doctor and companion walk across a snowy landscape to discover an escaped mutant creature on the run); The Seeds of Doom (opening scene where companion comes out of the Tardis in hot-weather clothing to discover an arctic landscape, and rushes back in to put on warm clothes; also, later, when the companion finds certain of the villain's practices repugnant, the Doctor points out analogous practices in her own culture); like last week, anything with evil businesspeople and greedy consumers in.
Everything Else: Conquest of the Planet of the Apes (slave race rising up and taking over the planet, led by a few individuals who are brainier than the rest); Blake's 7: Ultraworld (race with a collective mind which turns out to be an actual literal giant brain); Terminator III (company innocently producing robot slaves only to have them turn on them unexpectedly); John Wyndham's short story (later televised) "Dumb Mart" (alien creature thought to be stupid and fit only for use as a slave turns out quite intelligent indeed, and exacts revenge).
Anybody else wonder if the fact that this story's acronym is POO is deliberate?