If you're looking for manga similar to Professor Layton and the Eternal Diva, you might like these titles.
Sixteen students at the elite Hope's Peak Academy faint, and find themselves in an unfamiliar place. Now on a deserted island, the group is told by a mysterious character named Usami that they can leave once everyone becomes friends, but the truth comes out when the nefarious "school principal" Monobear arrives! Through a toothy grin he informs the gang that they now must participate in a deadly game where paranoia is expected, where an accused must face a jury of their peers, and where not everyone will survive...
London, the city where humans and non-humans reside. Serizawa Mico is a girl with the ability to see things that are not human. In place of her late grandfather who possessed the same ability, she travels to London, determined to help others. Starting from Bill, a man who owns a detective agency and was once her grandfather's partner, what changes are there in store for Mico as many other encounters await her?
Set one year after the end of Persona 4, Naoto is asked to investigate the mysterious disappearances of two Yagakoro students by an old detective friend, Touko Aoi. There, she is partnered with Sousei Kurogami, a mechanical detective and a polar opposite to her in terms of personality and methodology. In their first encounter, she awakens to a new persona Amatsu Mikaboshi, which enables her to amplify Sousei's persona ability, Tsukuyomi. Together with Sousei, she discovers the Midnight Site, an anonymous site where judgement is passed on others by five judges named after figures in Japanese mythology-- Uzume, Sarutahiko, Omoikane, Tajikarao, and Futotama.
High school student Hajime Hinata must be the "Ultimate" at something--after all, he got accepted to Hope's Peak Academy, which takes only the nation's elite teens (whether they're elite at being gangsters, gymnasts, or hamster breeders!). But he doesn't know what his special talent is...only that he and his classmates have been given a surprise summer vacation on Jabberwock Island. It may be a tropical paradise, but their sinister teddy bear headmaster Monokuma still expects them all to complete their assignments if they ever want to go home--namely, murder a fellow student and get away with it, as the survivors cross-examine each other at a classroom trial!
After facing harrassment, Sara Chidouin's friend Joe Tazuna decides to walk her home. But the pair are knocked out, only to awaken strapped to tables in a strange room...