Dunno what your term *grease* means.. but if you're referring to a cooking area or pans with vegetable oil and/or meat fat spatter that's formed a plastic-like build-up, then a couple of things will work fairly effortlessly.
Automotive solvents or household ammonia will break the film loose. Naptha may also be available in a solvent used as an autobody refinishing prep cleaner known as "wax and grease remover" from an automotive refinishing supplier.
Carb cleaners may still contain the xylene or toluene solvents that will effectively dissolve cooking residues.
Either of the automotive solvents will work more easily if used in the way described for ammonia. Extreme caution should be exercised for the solvents' use, to prevent ignition.
Household ammonia will lift off the residue if the ammonia is kept wet on the cooking residue, which can be accomplished by wetting paper towels and applying them to the surface (or pan edges to the paper towels) then covering the area with plastic to keep the area wet. Then just let the ammonia work for an extended time.
I think I may have heard of brake fluid being used the same way, but that might have been for some other compound.. silicone caulking, maybe.