I'm too late to vote, but is it just me or is the original list missing some episodes?
Tomorrow is Yesterday, City on the Edge of Forever, Assignment: Earth, The Time Trap, Time's Arrow, Parallels, Meridian, Past Tense, Little Green Men, Rapture, Non Sequitur, Future's End, Living Witness, Drone, Gravity, One Small Step, Twilight, Storm Front, In a Mirror Darkly, Penance...
As noted in the original post, the majority of these are intentionally excluded, as they are visits to Earth's past, which is played as it's own list.
https://www.trekbbs.com/threads/the-most-disliked-visit-to-earths-past.310686/
The anomalies in "Parallels" and "Non Sequitur" are described as anomalies in space-time, but in practice they were only used to transit in space and not time, so that's why they were left off. I do wonder if the goobledygook explanation in "Non Sequitur" specifically invokes time and time streams enough that I should add it for next time. It's similar to times I've tried to parse the scripts in "The Thaw" and "In The Flesh" to figure out what lists those episodes belong on. But the explanations are total nonsense mishmashes of contradictory technobabble, it feels like the writers spent 5 seconds on it, so it doesn't really lend itself to clear interpretation decades later. In "Non Sequitur" they're trying even less, the alien even says "it's not necessary for you to understand it."
The arresting of the aging process in "Meridian" didn't seem like time travel in the sense of the rest of these, as they are still experiencing the regular progression of time, just in a non-corporeal dimension, but I have occasionally wondered if there are enough "I Am Aging Rapidly/Backwards/In Stops And Starts!" episodes to make a list, and "Meridian" would belong there.
"Rapture" because of the precognition? That's broader than I was intending, though you do make me wonder if every Prophets episode should be added. Though then I wonder if that also requires adding episodes where Saru can sense the coming of death. And I'm sure there's some other precognitive aliens along the way that might be equivalent.
"Living Witness", "Drone", and "In A Mirror Darkly" are interesting ideas, though I think they sit outside the parameters of this list. "Living Witness" has some of the tropes, but it's really about the Doctor being extremely long-lived/immortal, and I think immortal/long-lived characters might be a full list of it's own. "Drone" and "In A Mirror Darkly" lack any direct temporal shenanigans, but they do use out-of-time technology to get their plots going. As there are some Disco episodes on here about the aftermath of their jump to the 32nd Century, as a sort of fractional representation of the full season arc, I can see the argument for included "Drone" and "In A Mirror Darkly", but I was thinking I would go the other way and instead remove the Disco eps without direct time travel the next time the list is played. (There's some trial & error in coming up with standardized criteria that make sense across the different eras of the franchise)
"Time Trap", "Gravity", and probably "Twilight" I'll add next time. "Twilight" is an odd one, it felt more "alternate universe" and no one actually travels in time within it, but Archer's treatment does have a temporal dimension that changes the past.