Yes, wouldn't that be wonderful? Unfortunately, all parish records for the whole country are simply not available.
For more parish records, see the Online Parish Clerks Projects; FamilySearch.com; local government web pages, such as county records offices; local libraries; and Family History Societies pertinent to your area of research.
More information about finding parish records in each county can be found on GENUKI at
http://www.genuki.org.uk