the camera in your image is a polaroid one600, probably the classic, it's a fixed focus. there are better models of the same series which can focus closer like the one600 pro, ultra and jobpro. they have a kind of autofocus, but it's very basic, it's either close or distant. all of them use 600 film in the classic polaroid format, which is approx. square, no wide format.
fuji wide refers to the camera and the film. the current camera model is the fuji 210, now available in different colors, technically they are all the same. they have 2 focus ranges, but you have to choose manually.
imho both cameras are not very sophisticated, but they do a good job. the fuji would come with a warranty. the difference is in the film as I explained above.