Take a look
I'm sure that the darker the room the better visibility of the projected image. But then again it is also dependent on the project itself on how powerful the projector is. I would read the reviews on the products as I'm sure folks will tell you if it is bright enough to see in somewhat lit rooms. Good luck!
Question: Where would I find an alarm clock, with projector feature, however, with a projector which does NOT require a JET black room, for time to be seen?
Does such an alarm clock even exist?