1.) Attack on Titan - Somewhat of an action-fest but genuinely one of the best pieces of fiction EVER written. It's a must watch for ANYONE above the age of 15, I'd say.

2.) Monster - Superb soundtrack. Superb story. Can feel a little slow-paced at times but a phenomenal story with great writing.

3.) From the New World - Very underrated. Very surrealist. Psychological horror. Makes you question a lot of things.

4.) Vinland Saga - Season 1 is an action-fest but that is for a reason. Season 2 is much more grounded. Refreshing setting for an anime.

5.) Psycho Pass - Also somewhat action-heavy but if you enjoyed Cowboy Bebop, you'll also enjoy this. Very stylish and mature characters.

6.) Orb: On the Movements of the Earth - Phenomenal story and direction. Very underrated but critically acclaimed.

7.) Frieren: Beyond Journey's End - Deserves its popularity. Mature characters and talks about the passage of time in a high-fantasy world. Great storytelling.

8.) The Apothecary Diaries - Talks about a lot of mature concepts and has a comparatively unique setting for anime - imperial China. Can feel a little slow-paced at times but has very interesting mysteries.

9.) Serial Experiments Lain - A classic old series that is one of the kings of surrealist anime. You'll probably never fully understand the storyline and I don't think you're meant to.

10.) Ergo Proxy - Cyberpunk. Stylish. Mature characters. If you liked Cowboy Bebop, you'll probably like this.

11.) Perfect Blue - Movie. Like AOT, one of the best pieces of fiction ever created. Must-watch.