>>140038https://anilist.co/search/mangaThere's this site that lets you browse lots of manga and anime by genre, release date, etc. Great for finding anything you might like.
If you have space on your storage, i'd recommend for you to download it instead of reading it online since it's more convenient after the initial hassle. Better image quality, flipping pages feels smoother etc plus you don't have to worry about your favorite site being taken down halfway through the story or some nigger putting spoilers in the comment section. But if you don't want to download it then
https://fmhy.net/reading has some sites you can read online.
Usually i download manga through nyaa.si or anna's archive. Any pdf viewer works but on mobile i like using a dedicated comicbook reading app like Kuro reader+ because it's more convenient. (You can change the direction you change pages, it automatizally zooms on the page in a way that better fits your screen, etc)
If you like science fiction and action mixed with a little bit of horror, you could start with Blame!, since it fits some of your requirements (no fanservice and avoids typical annoying anime tropes like having a retarded pushover loser protagonist, harems, etc). Might be a hard read for beginners though since it has very little dialogue, so things aren't directly explained to the reader and you'll get confused easily if you rush through it
