A common problem that a lot of people tend to face when it comes to the projectors that they use is that the screen turns green. No matter what type of video output the projector is meant to display, all you are going to be seeing is a green screen.
A lot of people seem to think that this is a problem caused by the bulb in the projector, but this is not the case at all. The real cause of this issue lies in the VGA cable that you are using. The three primary colors that a connector uses are red, green and blue. These are the primary colors that are mixed as required to reproduce the colors of the video that is being fed into the projector. If the VGA cable gets twisted or damaged, or even if it has been improperly inserted into the projector, the only color that your device would detect is green which is obviously going to be the only color that it ends up projecting.
A common solution to this problem is trying to twist the cable into an angle that would allow all of the wires to connect, thereby allowing all three colors to become available to the projector which would thereby result in the actual video being played on screen. However, you should keep in mind that this is going to end up damaging the cable even further, and soon it is going to become completely unusable.
A better option would be to simply buy a new cable. Alternatively, you could go for an HDMI cable which would not cause problems like this, and would thus enable you to watch your movies and shows with ease since the colors would be entirely accurate.