Editions since 2010 can be searched for at https://hansard.parliament.uk.
The House of Commons Hansard can be searched for by date from November 1988 to March 2016 via http://www.parliament.uk/business/publications/hansard/commons/by-date/ and the Lords via http://www.parliament.uk/business/publications/hansard/lords/
If you want to go back further (and I've enjoyed some interesting reading through this site) then visit http://hansard.millbanksystems.com. This covers the period 1803 to 2005.
