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The number of ships lost a total of 4,010 ships and vessels between 1939 and 1945 from 42,000 ton battlecruisers to 9 ton landing craft - although this figure does include civilian manned support craft, such as water carriers, tenders, barges etc. which were employed by the Navy. If you wanted a detailed breakdown by type, then please ask.
The Royal Navy lost 49,305 officers and men killed with 1,593 missing, believed killed.
For a full list of all casualties, try:
http://www.naval-history.net/xDKCas1003-Intro.htm