I had been reading up on the history of the USS Enterprise and noticed that there was a claim that the Japanese announced that they had sunk it three times during the Pacific War. This thread is the only one that I could find that discussed the topic and also makes the claim that the Enterprise was the most reported sunk ship in the American fleet by the Japanese and that at the Battle of Leyte Gulf the Japanese reported sinking 5 fleet carriers, 2 battleships, 3 cruisers, and a hit on a light carrier.
So what my question boils down to is, is there a count of what all sides claimed to have sunk as compared to actual losses in World War 2?
I don't know if there is a source for claimed sinkings during the war.
This source (compiled after the war) provides a number for actual US ships sunk by aircraft (of course many ships would have been sunk by submarines or other means) during WWII.
http://www.ibiblio.org/hyperwar/USN/rep/Kamikaze/AAA-Summary-1045/
The source reckons that 114 US ships were sunk by enemy aircraft in WWII, and 435 damaged (425 of the 549 US ships sunk or damaged were warships, 124 were merchant ships) (143 of the total sunk and damaged by bombs, 51 by torpedoes, 352 by suicide attacks, 3 by strafing).
About 7,600-7,800 enemy aircraft came within AA range of US ships during WWII. Of these, 2,773 were shot down by AA, and another 314 were lost through crashes (suicide crashes) on US ships.
The source further estimates that of the 7,600 enemy planes coming into AA range of US ships, 715 actually made a sinking or damaging hit on a US ship (sometimes several planes hitting the same ship).