Anyssa \a-nyssa, an(ys)-sa\ as a girl's name is a variant of Annis (Greek), and the meaning of Anyssa is "satisfaction".
The baby name Anyssa sounds like Anissa, Anessa and Anysia. Other similar baby names are Alyssa, Inessa, Annisa, Agnessa, Ayisa, Alessa, Alyss, Alysa, Allyssa, Alissa, Alyssia, Alyssah, Alysse, Amissa, Anya, Anisha, Anisa, Annissa, Anuska, Analyssa, Anusha, Arnessa, Assa and Nyssa.