Alyssah \a-lyssah, al(ys)-sah\ as a girl's name is a variant of Alisa (Hebrew), and the meaning of Alyssah is "great happiness".
The baby name Alyssah sounds like Alyssa and Alissah. Other similar baby names are Ayisah, Alessa, Ilyssa, Ilysah, Alyss, Alysia, Alysa, Allyssa, Allysiah, Alissa, Alisah, Alyssia, Alysha, Alydah, Alynah, Allysah, Allissah, Allisah, Alysan, Alysse, Anyssa, Elyssa and Ulyssa.