It sounds like to have builders grade cabinets with wood doors but a laminate or veneer on the boxes themselves. You could try to strip the finish from the door and re-stain and finish them but I would be concerned that you would be happy with the outcome. Painting the doors on the other hand, I have been able to do successfully many times. You just need a good primer and finish paint. The exposed panels can be covered with a thin veneer that is real wood or even better by thick plywood panels that can be stained or painted.
Any of these remedies are a good bit of work for not a great return in my opinion.