Say what you will, but what is really the most optimistic thing about TNG, more so than the poverty-less and money-less utopia, is when somebody goes to the captain and says "this weird, unbelievable thing happened to me" and they believe them.
Reg says he sees a creature in the transporter beam and rather than saying "Reg, you well-known anxiety haver, you're imagining things!", they take the transporter apart, twice, to find out.
Beverly says she hears voices at night and has an overwhelming sense of deja-vu, and the captain doesn't say, "my, what an overactive imagination you have! Sleep more and do yoga!", he instructs the crew to sweep the entire ship with sensors, from top to bottom and starboard to port, until they've figured it out.
The latter is from the episode "Cause and Effect" (TNG 5x18), and its writer, Brannon Braga, said he'd wanted to do time travel like it hadn't been done before: “Being trapped in a time loop is one I've never seen before.”
The episode was written, filmed, and broadcast in 1992.
Groundhog Day, the well-known film where a poor guy has to repeat the same day endlessly, came out in 1993.
Steve Oster recollected that a man called the show and complained, "You're ruining my kids by making them watch two women kiss like that." It was a production assistant who took the call. After hearing the man's complaint, the PA asked if the man would've been okay with his kids seeing one woman shoot the other. When the man said he would be okay with that, the PA said, "You should reconsider who's messing up your kids."