If you're looking for manga similar to Ore no Kanojo ga Bakemono Datta, you might like these titles.
Ever since he was little, Kobata-kun has been able to hear the inner voice of other people.
Yuuko is a ghost and is super bored. She just wants someone to see her. And there's a high school boy who can... only he pretends not to. The more he acts like he has no idea, the more her obnoxious attempts to talk with him escalate...
Kuno Chiyo, a high school student, has the power to see the future. One day, she learns through a vision that she will marry her fellow classmate, Kishida, who likes her and isn't shy at all about expressing his love for her. This is the story of the two lovebirds and the daily struggle for the easily embarrassed Chiyo to turn down Kishida's advances (both in reality and in her visions) while ignoring her developing feelings...
A story of a vampire, Ishikawa Runa, who is very bad at sucking blood, and her friends who look out for her.