Not really a manga but
http://www.mangago.me/read-manga/stalker_x_stalker/
I am not sure but here’s some of my favorites where their “psychos”;
http://www.mangago.me/read-manga/osananajimi_irony/
This one seems normal but it gets even more Fucked up as it go’s;
http://www.mangago.me/read-manga/public_sex/
http://www.mangago.me/read-manga/you_re_my_favorite_toy/
This one really recommend not sure if it’s on Mangago, I think it fits you description perfectly;
https://zinmanga.com/manga/psycho/
http://www.mangago.me/read-manga/ibitsu_no_kakera/
Um I hope you like it ╥﹏╥
Is there a manga where the mc is a psycho and their significant other are too Or where the psycho stays a psycho rather than fall in love and all that bs ლ(´ڡ`ლ)