Here are my favorite picks for similar anime like Charlotte. The list is in no particular order. Supernatural and school life is the name of the game here in terms of similarities of these animes.
In a world after death, angels fight for their fate and their future. Yuri, the leader of the Shinda Sekai Sensen, rebels against the god who destined her to have an unreasonable life. On the otherhand, Tenshi, the chairperson of the student council for the world after death, battles against the SSS members. SSS members utilize armed weaponry to battle it out against the angels harnessing supernatural powers.
Seiya was forced to accept an invitation to an amusement park by the mysterious and beautiful girl Isuzu. What he didn’t know was that she would bring him to the decrepit Amagi Brilliant Park, Japan’s most disappointing amusement park.
Seiya is introduced to the leader of the Park, the “real princess” Latifah, who suddenly entrusts him with saving the park, which is in danger of shutting down. Amagi Brilliant Park, it turns out, is not just any amusement park, but rather one populated by fairies.
Kouryou academy is a school for students who has Blaze, a soul’s power to create a weapon. However, Tor’s Blaze is irregular. It creates a shield instead of a weapon. The academy uses a special Duo system, at which students forming pairs and living together. Tor ended up being Julie’s partner, and it’s uncommon for a boy and girl sharing a room together.
Long ago, humanity lived in the sea. But the humans who longed for the land left the sea behind. They cast aside the special raiment they’d been given by the sea god that let them live in the ocean. The thinking of the sea humans and the land humans became as separate as the places they lived, and as countless time passed, they forgot they were once one people. This will change as the land-dwelling human Tsumugu Kihara befriends four students who live in a village at the bottom of the sea.
The Empire of Britannia has invaded Japan using giant robot weapons called Knightmare Frames. Japan is now referred to as Area 11, and its people the 11’s. A Britannian who was living in Japan at the time, Lelouch, vowed to his Japanese friend Suzaku that he’d destroy Britannia. Years later, Lelouch is in high school, but regularly skips out of school to go play chess and gamble on himself. One day, he stumbles on terrorists 11’s who’ve stolen a military secret and is caught by a member of the Britannian task force sent after them, who is Suzaku.
As the rest of the squad arrives, Suzaku is shot for disobeying orders, while the military secret, a young girl, gives Lelouch the power of Geass, which makes anyone obey any order. While Suzaku is secretly made the pilot of Britannia’s brand new prototype Knightmare, Lancelot, Lelouch becomes the masked Zero to lead the rebellion to destroy Britannia once and for all.
Kokoro Connect revolves around the daily, not so normal lives of Taichi, Iori, Himeko, Yoshifumi and Yui and their encounters in the Cultural Research Club. Up until recently they thought that they and their friends lived normal happy lives, but now the Heartseed is pulling their lives apart and exposing their inner secrets through body switching, urges and age regression.
One day, high school boy Yamada bumps into the beautiful female honor student Shiraishi on the stairs (literally), and their lips touch as they fall. When they regain their wits, they realize that they have swapped bodies. As time progresses, the two realize that this is not the only mysterious happening in the school.
There you have it folks. Take your pick and enjoy the anime!