Grew up watching Star Trek TNG, probably influenced my philosphical beliefs more than any other work of fiction. Still my favorite Trek, though not by the same margin it used to be. I don't remember when I started watching it every week, but I remember watching it in syndication every day after getting home from school, and that was before the series ended.
When I was a kid I loved Wesley because, well, I was a kid. I don't mind Wesley so much. He was a far better character when he was screwing up than when he was magically saving the ship, and I can imagine being a Starfleet ensign and being pissed that a talented kid gets to take the helm. But I can still identify with him quite a bit. I'd much rather keep Tasha over Troi than get rid of Wesley.
Gotta love a show which, in the first episode, tells the audience "You are savages."