I am new to manga. I've been searching for some manga to read but a lot of them have girls showing much of their skin, or tales of gods or demons, or have a character decide whether to kill or not. Is there manga that is actually good and innocent?
Do you have any example of a manga you actually like?
First ones to come to mind are
Bakuman, a manga about manga artists, it's a lot more exciting than it sounds);
BECK, about an "up-and-coming" rock band, also more exciting than it may sound;
Koe no Katachi, about... well, you should read the description
Planetes, about astronauts who clean up space debris... again, a lot more exciting than it sounds
Mushishi, about... I don't know how to describe this one and do it justice.
These are just the first few that come to mind (but trying to get some variety in there). I agree it can feel like most manga is about fighting/killing, supernatural beings or full of fan service, and that's because it's what the majority of readers seem to want, but there are quite a few manga out there which just tell a good, "real" story. Maybe at least one of the above is for you.