The main Census 2011 page from the Office for National Statistics can be accessed here, with a new ONS Dataset Explorer (beta) and analysis page. A key source for Census 2011 data is nomisweb.co.uk which has easy to use tools to find, explore and map data tables. UK Data Explorer brings thematic mapping of over 400 Census variables.
Bradford Council undertook a detailed analysis of the district, including Census 2011 outputs. The main report Understanding Bradford District can be downloaded, along with a supporting note on ethnicity, language and religion.