Remove the handles from the cabinets with a screwdriver. Remove the hinges and lay the cabinets on a flat surface.
Brush a 1/8-inch thick coat of semi-paste stripper to the cabinets, working in 2 foot by 3 foot sections at a time. Apply all strokes in the same direction.
Watch the cabinet to see when the stripper has loosened the crackle paint. The crackles will become less defined and the smooth portions will wrinkle.
Place a putty knife onto the cabinet face and pull it toward you, maintaining contact between the knife and the cabinet. This will pull off the loosened crackle paint.
Repeat with the next section of the cabinet, and each door. When you are done, sand down any rough spots with 120 grit sandpaper.