The two types are freestanding (no overhang) and slide in (overhang). I always recommend the slide in version for several reasons. First the controls are all in the front so you don't have to reach over hot burners to get to the oven controls. Second they fit tighter so crumb and grease can't fall down between the range and the cabinets on either side. Third they look much better. Fourth there is no back splash so you have a larger back splash area. Fifth, they integrate into the line of the counter top and back splash better so it reduces the visual impact of the range on the overall design of the kitchen.

I agree with Skydell. Given the choice, I’d go for slide in. Looks more integrated and no drips down the side. The better backsplash visibility is a big plus, too.