Bramley is a district in west Leeds, West Yorkshire, England. It is part of the City of Leeds Ward of Bramley and Stanningley with a populatio…Bramley is a district in west Leeds, West Yorkshire, England. It is part of the City of Leeds Ward of Bramley and Stanningley with a population of 21,334 at the 2011 Census. The area is an old industrial area with much 19th century architecture and 20th century council housing in the east and private suburban housing in the west.