If you're looking for manga similar to Real Girl, you might like these titles.
When I came down with a cold and was bedridden, a beautiful woman wearing cat ears appeared before me. But it turns out that she was actually my pet cat...?! She's usually calm, cool, and collected, but put cat ears on her and she's fawning all over me. How will my love with this mysterious beautiful woman turn out?
Eiji is a high schooler living with his father - a novelist who can't sell his works. Eiji is rather anti-social, nerdy, and worst of all, poor. But he is a kind, honest young man who never forgets how his deceased mother taught him to be compassionate towards others. He (along with everyone else) deeply admires his classmate Aoi-san, the daughter of the president of a large corporation. But Eiji had never been able to face her due to the enormous difference in their social standings. One day after school, he returns home to find that Aoi had come to visit him, and there, she says a few words that astonish him even more than he already is...
Yusuke Yuki, who has spent his entire high school life studying and working part-time in order to keep his special student tuition exemption, finds himself desperately desiring a girlfriend. On his way home, he looks up and accidentally sees a girl attempting to jump off the roof of an abandoned building. A strange encounter leads to a new way of life and a love story with the mysterious girl named Hatsuhaku Kotori.
As a result of an unexpected event, Akira Kogure - an introverted and lonely young man - discovers that the beautiful student council president, Shizuku Takasaki, is secretly the former female head of a gang. She apparently wants to marry a man who's stronger than her, but what she doesn't know is that Akira was a juvenile delinquent whose strength surpassed even hers...