Bamby \b(a)-mby\ as a girl's name is a variant of Bambi (Italian). See for meaning of Bamby.
The baby name Bamby sounds like Bambie. Other similar baby names are Bauby, Babe, Bayly, Baily, Bobby, Babb, Baba, Bab, Bay, Barry, Cammy, Jamey, Pammy, Samey and Tammy.