Richard Bunny (1541–1608), of Newland and Normanton, Yorkshire, was an English politician.
Bunny was the second son of MP for Bramber and Boroughbridge, Richard Bunny and Bridget Restwold, daughter of Edward Restwold.
His father disinherited the eldest son Edmund Bunny in Richard's favour when Edmund, against his father's wishes, entered the Church, although their father in his will insisted that he bore no grudge against Edmund.
He was a Member (MP) of the Parliament of England for Aldborough in 1572.
This article about a 16th-century member of the parliament of England is a stub.