Like Kelso, my first full exposure to TAS was through Foster's "Log" series. I'd heard of TAS and I'd read references to the episodes in Bjo Tremble's Concordance, but I never dreamed I would ever see the series. It wasn't in syndication anywhere that I knew of and I never thought it would.
Then in about 1985 (I think) Nickelodeon started broadcasting the entire series. Here I was, 13 or 14 and riveted by "new" Star Trek with Kirk, Spock and McCoy. I'd read some of the Logs and was finally able to see the episodes "live," so to speak.
I finally understood how the Klingon D-7 was able to "capture" and carry the Enterprise as depicted in the Concordance.