After watching some of the earlier years of the series again recently, some of the first season really had very poor acting and poor/preachy story lines (some of which had also been adapted from TOS story lines) . They improved, thankfully, as the show evolved (although there were some unfortunate "jump the shark" - see below - moments near the end of the series).
What I didn't like about Wesley was that he shouldn't have been on the bridge, no matter how clever he was. I did get sick of him saving the Enterprise every week, and I think it was because a) he wasn't trained - in real life, there would have been a lot of complaints from the other members of the crew to force him back off the bridge - why should anyone have to go through extensive and grueling star fleet training if the captain "just lets" a teenager drive the flag ship of the federation and b) he was an arrogant little twit. I felt that then, and I feel that now. I didn't like Troi when I first started watching either, she was a "cheat" and too heavily relied on. Now I see her character a little differently and she doesn't annoy me as much. Wesley I have NEVER warmed up to.
"Jump the shark" = when a show does a story line where the premise is so ludicrous it is actually seen as the episode where people stopped watching and the show wasn't long for cancellation. It comes from an episode of "Happy Days" in which "The Fonz" literally jumps a shark while on waterskis.
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People think there are four elements to the world; fire, wind, water and earth. They are wrong. There is a 5th element - surprise. - paraphrasing of Terry Pratchett "The Truth"