The top left corner looks like an animated version of City on the Edge of Forever, the top right looks like Encounter at Farpoint (but that was Next Generation).
Correct! Star Trek: The Animated Series (1973). That is the time portal in the upper left, used for another story.
These are a lot of fun. Little 25 minute SF plots with the original actors doing the voice work and taking it seriously.
I just saw one where Uhuru mutinies and takes command when all the male crew are hypnotized by a planet of lovely sirens. She and Nurse Chapel assemble an all-female security team to beam down, kick butt and save the day:
The two actresses do voices for the planet-side enemy also!
These are supposed to be on Blu-ray by the end of the year. I'm not sure the rudimentary Filmation art work requires that, but hidef is obligatory these days.