Conservative YouTuber, Misha Petrov has this name. She recognizes the name is typically masculine, and she was born named Michelle, but Misha became a nickname she used.
Misha Janette is an American fashion journalist, fashion director and fashion blogger, based in Tokyo. She is best known for her unique personal style, that has made her a fashion personality in Japan.
Surprised no one has mentioned this yet, but Misha Collins is an actor who plays the angel "Castiel" in the show Supernatural and also appeared on a Charmed episode titled "They're Everywhere" portraying as a volunteer called Eric who happened to know Phoebe Halliwell.He is the only person I currently know about who bears this name, and I think he bears it well. So whatever gender this name belongs to, perhaps it's most important if the child can grow into adulthood without wanting to legally change it the moment he or she turns of age. They don't stay babies forever, in a way, you're naming an adult.
A character from the visual novel Katawa Shoujo is nicknamed Misha. Her name is derived from her full name which is (in Japanese name order) Mikado Shiina.
Micha Bergese is an actor best known for his role as the Huntsman in the film "The Company of Wolves". I love this name, though I prefer it spelled Mischa, and I also like it more for a boy than a girl.