Sci-Fi fan here since the 50s. First things I read were pulp magazines like Amazing and juveniles by Heinlein, Asimov, and others. I watched all those hokey series from way back when, including space cadets.
I was in the army in Germany when Trek hit the little screen, and came back home itchin' to watch "real" science-fiction on TV.
Alas, my parents didn't watch it, and I had to wait for summer re-runs. (No VCRS in 67....)
Sure, Trek had it's flaws; hokey acting, cheesy effects, etc. Still, some of the stories were quite good (written by some of the better sci-fi writers around at the time) I enjoyed it thoroughly. I think the episode where the crew encounters the Romulans for the first time was greatly derived from the old submarine movie, The Enemy Below.
As for Star Wars, I saw it with my wife in 1977, and came out of the theater wanting my 73 VW to be an X-Wing, and desperately wanting a lightsaber.
Sure, on reflection, my critical sci-fi senses kicked in, but I (like many others) simply said, Space Opera, not Sci-Fi.
Part of the attraction was that we simply hadn't seen anything quite like this before.
The subsequent films have been bigger and splashier, but didn't have quite the same visceral feel for me.