The first type is magazines that take a scene from the movie. This is very simple, because all it is is a screen shot image from the film. This isn't very effective, because if the image came from a fast pace scene, the background maybe blurred.
The second type of magazine cover is a photo shoot of the main actor. The magazine may go on about different films that the actor has been in, or just generally talk about the actor in the new film.
The third type is a photo shoot of the main actor in costume. This can make the audiences aware of the new film that is coming up and which actor is starring in it.
The forth type is a recreated scene from the film. This is like the first type, but it is done in a studio. this can mean that the photographers can adjust the actor to the position that looks more flattering for the magazine.