Almyra \a-lmy-ra, al-myra\ as a girl's name is a variant of Almera (Arabic) and Elmira (Arabic), and the meaning of Almyra is "aristocratic lady, princess; aristoctaric lady, princess".
The baby name Almyra sounds like Elmyra and Almira. Other similar baby names are Amyra, Aldara, Aldora, Alegra, Allura, Alura, Alma, Almeda, Almita, Almida, Almeta, Elmyrah, Elmera, Almirah, Almire, Almeria, Almeera, Aludra, Alvera, Alvara, Amara, Amira, Amyrah, Amera, Amora, Almina, Almena, Allmera, Alvira and Palmyra.