Never watched anime, I like Sci-Fi, what should I watch?

As the title says, l've never watched anime before and I really like Sci-Fi, so what should I watch? I also like drama and coming of age stories, I don't know if they exist in anime like in movies. Thanks.

Edit: Thank you guys so much! I can't believe how many responses I got, I will be checking out a lot of the animes you've mentioned, that's for sure!