When did you feel each show found its footing? It could be the first episode, a first or second season episode, the show getting retooled mid-series, maybe when a new character joins the cast to shake things up, and so on. So, for each series you like, what's the episode where it "got good?"
Broadcast Era
TOS: I saw random reruns as a kid, didn't care for it really, because when I was little, only TNG was Star Trek.
Later on, I got 3 of those 2-episode DVD's to give the show a proper go. The pilot "Where No Man Has Gone Before" made me a fan. I later saw the show proper on DVD and am giving it a second go on Blu-ray.
TAS: Rather than treat this as a 2nd show, most fans consider this an animated 4th season more or less, is that right?
TNG: I found the show in reruns as an Elementary Schooler. I remembered it as that space show where all they did was talk and hold board room meetings. When I saw "The Best of Both Worlds" in reruns, I was hooked and became a fan.
DS9: I didn't care for it at first, it was just too much of a departure, too "not-Trek." When Worf joined the cast, I was like, now I have to watch. The S4 premiere with Worf and the Klingons made me a fan. First time I saw S1-3 proper beyond a few first runs and reruns was on DVD, and holy crap, I was like, where was I? "Oh."
VOY: Loved the 2-hour premiere, hated the "alone in the DQ" premise. I did watch every episode, waiting for it to "get really good." I got sold with "Deadlock" (2-21), the twin Voyagers episode.
I have the whole series on DVD and found appreciation for the early seasons (1-2).
ENT: Like Voyager, loved the 2-hour premiere. "The Andorian Incident" (1-7) and "Cold Front" (1-11) were the episodes that got me hooked. Early season 1 kind'a stumbled around, but found footing mid-season.
Streaming Era
DIS: When this first came out in 2017, loved the first episode, but I didn't want to have to "subscribe" to watch the series, so I shrugged and passed. When Picard came out and I finally had to get CBS All Access (before renamed Paramount+), I was like, OK, while I wait for PIC S2, I guess I have to watch this now. I wasn't sure about the opening two-parter, but I was sold by the end of the 3rd episode.
ST: I mainly watched this, because it's a companion show to Disco. It was fun.
PIC: I was sold simply on the news that this was even happening.
Loved S1, every episode. S2 had a strong start (1-3), became CSI Picard (4-8), and had a strong finish (9-10). Season 3 was fun, but I wish they had left the ship and not just thot nearly the entire season on set. My only real nitpicks are Seven's insta-career, not knowing if the Titan-A is new or 5 years old, ships being retired too quickly, Spacedock being moved to another solar system and repurposed, and Earth's new spacedock being rebuilt or repaired like nothing happened in just one year. Why can't Earth just have two spacedocks? My S3 nitpicking is mostly just "starship stuff," basically.
LD: I wasn't sure about this show, it felt too... fan-fic. "Moist Vessel" (1-4) was the one that sold me on this.
PRO: Sold as of the 1-hour premiere.
SNW: Saving this for when I finish my Disco S1-2 rewatch.
Broadcast Era
TOS: I saw random reruns as a kid, didn't care for it really, because when I was little, only TNG was Star Trek.

TAS: Rather than treat this as a 2nd show, most fans consider this an animated 4th season more or less, is that right?
TNG: I found the show in reruns as an Elementary Schooler. I remembered it as that space show where all they did was talk and hold board room meetings. When I saw "The Best of Both Worlds" in reruns, I was hooked and became a fan.
DS9: I didn't care for it at first, it was just too much of a departure, too "not-Trek." When Worf joined the cast, I was like, now I have to watch. The S4 premiere with Worf and the Klingons made me a fan. First time I saw S1-3 proper beyond a few first runs and reruns was on DVD, and holy crap, I was like, where was I? "Oh."

VOY: Loved the 2-hour premiere, hated the "alone in the DQ" premise. I did watch every episode, waiting for it to "get really good." I got sold with "Deadlock" (2-21), the twin Voyagers episode.

ENT: Like Voyager, loved the 2-hour premiere. "The Andorian Incident" (1-7) and "Cold Front" (1-11) were the episodes that got me hooked. Early season 1 kind'a stumbled around, but found footing mid-season.
Streaming Era
DIS: When this first came out in 2017, loved the first episode, but I didn't want to have to "subscribe" to watch the series, so I shrugged and passed. When Picard came out and I finally had to get CBS All Access (before renamed Paramount+), I was like, OK, while I wait for PIC S2, I guess I have to watch this now. I wasn't sure about the opening two-parter, but I was sold by the end of the 3rd episode.

ST: I mainly watched this, because it's a companion show to Disco. It was fun.

PIC: I was sold simply on the news that this was even happening.

LD: I wasn't sure about this show, it felt too... fan-fic. "Moist Vessel" (1-4) was the one that sold me on this.

PRO: Sold as of the 1-hour premiere.

SNW: Saving this for when I finish my Disco S1-2 rewatch.