There have been quite a few over the years, ranging from the ww2 american BB McLashan sub machine gun used to train aircraft gunners and the, bit confused here, possibly Crosman or similar 'quick fire' BB used without sights and by the us Army, 1960's.
Others - Daisy feature at some point, stuff for the Egyptian army that you mention ( Hakim? ) so no dreaming going on! Obviously BSA Military Trainer, Webley Mark1 rifle ( probably ), a French pistol springs to mind as well.
Original did one, model 50 variant, and a very rare type based on the Swiss military KAR 31 with a Hammerli air rifle conversion fitted. I may be wrong but even as far back as 1860's the americans were training with a pistol, maybe Pope?
BSA gun layer, British Navy, ww1 and later.
Plenty of information available, try the regulars such as MicksGuns ( no connection honestly but I seem to keep mentioning him! ).He has a couple for sale.
Just remembered our old friends the Gems. I have a copy of the 1907 Complete Airgunner and there is plenty of evidence supporting their use.
The end is listless....soon there'll be some real experts along to add more.
Carl