Higurashi no Naku Koro ni, Pupa Recommendations
Both are psychological horror and contain blood + gore. Higurashi has more of a plot and is actually more mysterious and interesting because of that. Both of them are really difficult to stop watching, because you just want to know what is going to happen in the end.
These two anime have a similar outward appearance to them: both feature nature and bugs as sort of an underlying theme behind the 'plot', both have big-eyed teenagers with mixed feelings towards each other and both have gory scenes. If you enjoy looking at bugs and blood, then this is your type of show.