Hey, thank you cornbread and ascheroth for the warm welcome
I'll definitely take a look at MyAnimeList as per your suggestion.
When it comes to genres, I'm not fussy. I like action, drama, comedy, etc.
It might be easier to give an idea by mentioning the things I've watched in the last few years that I quite liked?
The stuff that I've seen recently that I really enjoyed without reservation, would be One Punch Man, Erased (on MAL it's called Boku dake ga Inai Machi), Usagi Drop, and just really recently, I watched some of Atom: The Beginning, which I loved (but I was a big Astroboy fan as a kid so that could just be the nostalgia talking). Attack On Titan has been pretty good from what I've watched so far, too. I watched about 20 episodes of that last year.
On the "good, but..." front, I enjoyed the music from 'Your Lie in April' immensely, and it had some funny moments, too, but I don't know if the high-school-teen-angst stuff interested me as much. I recently watched what seems to be considered a classic in Cowboy Bebop. I liked it well enough but maybe I expected too much from it - might have been a case of not being able to live up to the amount of hype it seems to have.
Classic/older anime I remember liking but I'm not sure I can trust my memory: Lupin the 3rd movies I remember liking, Dragon Ball Z had its moments (but oh so much filler), Pokemon was good in small doses (though it does tend to tell the same stories every generation). I watched Evangelion back in the day and there was stuff I liked (but also more teen angst which I found unappealing). Trigun started off funny and interesting but it got weird. I saw an episode of Samurai Champloo where they played baseball which was hilarious, so I think I want to watch more of that show.
So uh, that's a wall of barely-intelligible text. Sorry 'bout that.
Anyways, that's stuff I can think of that I've liked (with or without caveats). I've also seen maybe 5 or 10 full-length animated films - I'm not going to name them because I'm honestly pretty happy to try basically any animated feature-length film you recommend, since they are 1-2 hours long.
If anyone here's able to make sense of what I've written above, and has some recommendations, love to hear them. Thanks!