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It works fine with Win ME. Can't hear any sound, but that might be due to my crappy on-board sound.
But I can't quit the game. If I do, the screen goes black and a PC restart is necessary.
So instead of pressing the exit button just use alt+tab and close. Not elegant but it works.

High time for a modern remake of the game:

MS ZepSim.
Experience the adventure of a scheduled Zeppelin flight.
Now in 3D.