I was always a bit negative about anime because of the childish, almost cringy ways of delivering stories that have the potential of being really good.
And that's when I came across Monster. The first episode immediately got me scared and hooked at the same time, and it wasn't necessarily the episode itself that got me. It was the credits. The image I saw, the music that played gave me an indescribable feeling of terror, loneliness... and great anticipation.
So I continued watching. Every episode was even better than the last. The story was extremely engaging. I had strong emotions about every character, whether it was love, hatred, disgust or fear. The tension was constantly there, and it was great to see the mysteries unfold. What was so great about it is that the mysteries don't stay mysteries for too long, I always found that when unanswered questions drag on for too long, I lose my interest to even find out the answers (I'm looking at you, BBC Sherlock and the Kingdom Hearts Saga), but this show really got me going.
The small backstories were also a lot of fun, I've told people various small tales that come from this show and I always manage to pique their interest. And I'm not even a good storyteller, that's just how amazing the concept of each backstory is!
Well, I think I've said plenty. If the animation quality/style is what throws you off, which I can kind of understand, please do keep watching anyway. It's really, really worth it.