Hanimex rondette slide projector Model 2000 takes carousel style trays or long narrow rectangular trays what trays are compatible with this model?

It will take both. Here the carousel stays vertical (as opposed to Kodak where the carousel sits horizontally on top) in a slot which can at other times accommodate a rectangular tray of 35mm slides.

It will take Sawyer or Vivitar carousel. Sorry misread the initial question.