Having now finished the first two years of TNG... wow. Wheeeeeeeeeew.
I love the stories that have completely unrelated A and B plots that just... solve each other out of nowhere.
In Haven Troi's gon get not-so-happily married (A) and plague ship inbound (B). The groom is thus able to check in on the plague ship so plague ship isn't a problem, taking him away from the marriage Troi doesn't want. (A) solves (B) solves (A).
In 11001001 the Bynars need their planet saved (A) and Riker's too horny to live (B). Turns out the holodeck beaut is the instruction manual they use to save the day, which for some reason deletes her. (B) solves (A) solves (B).
In The Child Troi has a kid now (oh god why) (A) and the virus is, I dunno, something (B), and then the kid is causing the problem, so he, uh, dies (oh god why), and Troi doesn't have to be a parent for the rest of the show. (A) solves (B) solves (A).
In Manhunt Lwaxana is too horny to live (A) and Picard picks the wrong holiday destination (B). The holiday destination provides Lwaxana with the horny release which in turn allows Picard to end his crappy holiday. (B) solves (A) solves (B).
In the pilot they've got the separate problems of Q (B) and that other ship (A), and Q just interrupts them before they can fire on the ship, which kinda saves the day and solves (A), which in turn solves (B).
In the Last Outpost there's Ferengi (A) and weirdo planet guy (B), and weirdo planet guy stops the fight between our folk and the Ferengi before the Ferengi's craziness makes weirdo planet guy like Riker for some reason. (B) solves (A) solves (B).
In the Outrageous Okona, they... ugh. I don't care. The episode was grim.
And, my personal favourite, in Up the Long Ladder the Irish folk need a new home (A) and some cloned folk need some, oh god, "breeding stock" (B). The two men shake on it and now the folk are all living together. (A) solves (B) solves (A).
Some of these plots could've worked even, but they definitely don't when some other contrivance comes along to solve the problem immediately.
Mup from the future:
Back when I wrote this I thought I was actually having fun watching the show, and in truth, I was. The scripts were disappointing and chaotic, but they made for an interesting experience, if not an enlightening one. So many episodes just defied any kind of analysis at all (at least that I could manage) so the only thing left to do with them was laugh (or wince) and then move on. For a while I really did feel the "comfort" people talk about when they talk about TNG.