The typical style is regular overlay where the doors overlap the opening but still reveal the cabinet frame. This is the least expensive style. A very popular type now is the full overlay when the door completely covers the frame. A very popular and elegant modern kind of door is an inset door - the door is flush with the frame. A regular inset has a plain edge while a beaded inset has a special molding around the edge of the door fitting in the frame. This is the most expensive style.
Learn more about cabinet door styles, complete with pictures at Cabinetsdelivered.com. (Scroll up to see many types and panel styles.)