The only tray projectors being shallow that come to my mind are old ones from Braun (the Braun firm with the electronic valve in its name, not with the achromat).
examples:
http://www.tugendhat.de/resources/Projektoren.png
(the front one being very shallow)
https://www.braun-hifi-forum.de/userpix/440_pict2153_1.jpg
Other than that are the slide-stage types. Here the choice is larger.
a basic one
https://www.kameramuseum.de/0-fotoprojektor/braun/braun-manuell-proj.jpg
the classic one
https://upload.wikimedia.org/wikipedia/commons/2/20/Leitz_Prado_BW_1.JPG
Most of my early slide viewing involved a Kodak 300 projector that might have once met your needs.
One like this: https://www.ebay.com/itm/Vintage-Kodak-300-Model-1-Slide-Projector-with-Case-/283481853552
Like all things relating to slide projection, thinking outside the box is helpful: https://www.amazon.com/water-resist...F6JAB8WJ42R&psc=1&refRID=J89GSXYBJF6JAB8WJ42RThanks for all the replies, I think I may be able to make the ektagraph work. if I put it on top of a smaller bookshelf. I still need to find a dust cover.
Wish I still had it.That would certainly look neat on the shelf.
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