Biggie

I have never watched a anime but I saw my friend watching Parasyte and I thought it was pretty funny so I watched the first two episodes and I was impressed at the quality of whole story so the next day I binged the whole thing in one sitting.The problem is I WANT MORE but it seems I started with one of the best. I searched for a couple days for something more but all I got where superhero type animes which isnt my thing, what I liked about parasyte was the story the "realism" and the how down to earth the whole thing was. I would rank it as one of the best stories I watched so are there any othere similar animes without the superhero and "fictional" aspect?