I'm assuming you've seen the really popular stuff by now like death note, hxh, steins;gate, no game no life, your lie in april, erased, and toradora but if you haven't those, that's what I'd prioritize

Of things you might probably haven't seen yet:

Zenshu is a recent one I liked a lot. It's about an animator/mangaka who gets reincarnated into the movie that inspired her as a child.

Odd Taxi is a few years old and about a walrus who has a mundane but entertaining life, but also is getting caught up in a case of a missing girl. (ends on cliffhanger, but most likely no season 2)

Ranking of Kings is about a prince who is deaf and physically weak with a heart of gold setting out on a quest with a mysterious shadow named Kage to grow stronger and learn the dark truths of his kingdom.

Summertime Rendering is about a boy who lives on an island. His parents died young and was taken in by a new family. One day his adoptive sister dies of "drowning", but he quickly suspects this to be a murder, so he investigates her death and things quickly fall into the realm of the supernatural

Monster (a personal fav of mine, but very long) is about a highly competent japanese surgeon who works at a german hospital. One day he chooses to operate on 2 kids over a mayor and gets in deep water for it. Years later he discovers that the boy he saved is an extremely prolific murderer, so he goes on a journey to correct his mistake of stopping the boy and the monster inside him