The Japanese poet Kobayashi Yatarô (1763-1828) took the name Issa as a pen name. He was one of the four most prominent writers of Japanese haiku. Issa means "cup of tea" in Japanese.
A famous bearer of Issa (as a surname anyway) are singer Sámer Issa, actress Klára Issová, actress Martha Issová, director Moris Issa, editor/designer Filip Issa and Michel Issa.
Issa Rae is a producer/director/writer. She is the producer/star of the successful webseries, "The Misadventures of Awkward Black Girl". She also has two other webseries.