Aleezah \a-lee-zah\ as a girl's name is a variant of Aleeza (Hebrew) and Alizah (Hebrew), and the meaning of Aleezah is "joy; joy, joyful".
The baby name Aleezah sounds like Aliezah, Alieza and Aleesa. Other similar baby names are Aleeyah, Ayeesah, Aleynah, Alenah, Aleena, Aleea and Aleah.