Rayman \ra(y)-man\ as a boy's name is a variant of Ramon (Spanish). See for meaning of Rayman.
The baby name Rayman sounds like Raymon and Roman. Other similar baby names are Dayman, Ayman, Karman, Carman, Hyman, Daymon, Daymian, Daman, Eaman, Garman, Harman, Jarman, Naaman, Naman, Rajan, Rama, Ramzan, Rayvin, Rayven, Raylen, Raydon, Raymond, Raymund, Rayment, Redman, Rodman, Royan, Roydan, Ryan, Rylan and Wyman.