Allyssha \a-lly-ssha\ as a girl's name is a variant of Alicia (Old German), and the meaning of Allyssha is "noble, exalted".
The baby name Allyssha sounds like Allyssa, Allessa, Illyssa, Alyssa, Allysia, Allissa, Alyssia, Allysa, Allysah and Ellyssa. Other similar baby names are Allysson and Alysha.