Hi everyone. I would like to weigh in on this topic. I'm from the UK, 29yo, and I've always been a massive Star Trek fan. My mum was married to by then stepdad in 2001 when I was 6 and he was already a big trek fan. One day I remember seeing him watching TNG on video in the living room and started watching with him. It was the espisode when Dr Crusher was in the cargo bay and a bunch of dead patients from another ship suddenly sat up. What a scene to see as small child! I may have been 7 by that point. I remember thinking what the heck is going on! That is what drew me to it, I think, and as a way to bond with him instead of any other qualities a little kid could enjoy about Star Trek. Regardless, from that point on I was hooked! We had just a dozen episodes or so on video but I used to watch them on repeat. Fortunately for me they were some of the better episodes, including Power Play, Disaster, Encounter at Farpoint, Parallels etc.
And then our local video shop closed down. My stepbrothers and sister went down there and bought a tonne of video casettes home, bags full! All sorts of movies but importantly they grabbed a bunch of Star Trek movies too! The one I remember watching the most was Star Trek 3: The Search For Spock. The scene of Kirk stealing the Enterprise was such an adrenaline rush, and of course the film had Doc Brown in it as the villain, and the Enterprise self-destructing was just mind blowing for me at that age. I remember my stepdad wouldn't let me watch TWOK because it was "too violent" which now I can understand. So that's how I got into Kirk Era trek too!
In 2006 my parents split up but I always used to visit my "Ex-Stepdad" every weekend and watch the Kirk movies and Voyager too. From that point onwards I started to explore Star Trek on my own. In college I made an account on this message board (the account is long gone!) but all the different opinions and discussion just made me realise how passionate the fanbase was about this Franchise.
Then I watched all of DS9 for the first time, then TOS. I enjoy TOS as it was the coneceptual genesis of the IP, and introduced many concepts and tropes that would carry on into the later series. Some other people my age have postulated that its a relic of a by-gone era and it hasn't aged well... but I disagree! Its campy yes, but IMO makes it more entertaining, and it has some of the best episodes of the entire Franchise. DS9 was a big departure from the status quo of ST up to that point, but it had some of the best character writing and action of all the series.
I introduced Star Trek to my girlfriend with Voyager. I already tried with TNG but she wasn't really feeling it. She enjoyed Voyager and she like Enterprise. We skipped most of season 1 and 2 of Enteprise, but we both agreed that S3 & 4 are fantastic (except for the finale!). So thats my story. If anyone asks me about Star Trek in public I need practice saying less, because without it my life would probably be very different. Anyway thats my Story. Not everyone will like all the series but thats fine.
The only series I disliked was Discovery, despite it probably being marketed more to my age bracket. It suffers from poor writing and doesnt repsect the established lore of the Franchise, so I could never get into it.