Burbage is a surname. Notable people with the surname include:
James Burbage (1531–1597), father of the Burbage brothers and builder of 'The Theatre'
Richard Burbage (1567–1619), actor in William Shakespeare's theater company
Cuthbert Burbage (1566–1636), older brother of Richard Burbage, and also involved with the theatrical business
Cornell Burbage (born 1965), American football player and coach
Jake Burbage, (born 1992), American actor who is best known for his role on Grounded
David Burbage, British local politician
Fictional characters:
Charity Burbage, minor fictional character in the Harry Potter books