Boogiepop wa Warawanai, Higurashi no Naku Koro ni Recommendations
Both involve a series of murders happening in a city.
In both the main characters are teenagers who have to deal with deaths and strange disappearances.
Both have scenes that repeat themselves, but seen from the point of view of different characters.
Both are gory, violent, creepy, confusing, and have a “desperate” feeling in them. Both are pretty psychotic. Both have a great soundtrack. Both also have a “god” or mysterious entity of sorta.
Both are amazing psychological anime.
Graphically, Boogiepop and Higurashi couldn't be further appart from each other; while Boogiepop has a grim world design and color palette, with realistic looking characters, Higurashi is filled cute lolis and bright colors. However, both shows tell stories with plenty of despair, mistery, murders and disappearances. Now, that alone wouldn't make any of these shows a particularly good recommendation for the other... The main link in the style of these shows is the narrative. Both make use of non-linear storytelling and change of character's focus, building the plot slowly, bit by bit of information. Boogiepop is harder to grasp, but Higurashi also takes longer to
Boogiepop Phanton is a horror anime series with a story that has a similar set up to Higurashi. All of the characters profiled in each episode are in some way linked to each other; a mysterious beam of light, a series of murders that took place 5 years before the anime, and Boogiepop, the "Angel of Death". Boogiepop Phantom, like Higurashi, needs to be paid attention to closely so you can be able to fully grasp what is going on.