Baking Soda

• For both its deodorizing capabilities and its mild abrasiveness, baking soda is a safe and natural alternative for removing stubborn grease. Dampen a sponge with warm water, and dip it in baking soda. Scrub the greasy area with the baking soda to clean it. Make a paste with the baking soda by mixing it with water, and use the paste to help with the more stubborn areas. Rinse away the residual with a warm damp cloth.
  
  

White Vinegar

• Straight white vinegar on a sponge may be all it takes to cut through grease stains on your oak cabinets. Vinegar is a mild acidic that can effectively cut through grease without harming the wood. If the grease puts up a fight, pour the vinegar into a spray bottle and spray it onto the area. Keep the area damp for at least five minutes to allow the grease to soak, and wipe it again with a sponge. Rinse the area with warm water once the grease is lifted to remove any residue.
  
  

Dish Soap

• Dish soap cuts through grease on your dishes and cookware and can do the same for your cabinets. Drop a few squirts of a grease-cutting dish soap into 1 qt. of warm water to make it sudsy. Dip a sponge in the soapy water, and scrub away the grease. A plastic mesh dish scrubber can be of assistance for a little extra scrubbing power that won't scratch the wood. Rinse the area with a clean damp cloth to remove soap and grease residue.
  
  

Commercial Products

• Numerous citrus commercial-based products boast grease-cutting capabilities. Read the label to ensure that the product you choose is safe to use on your oak cabinets. Follow the manufacturers' instructions for how to use it and how much to use. If the cleaner of choice uses chemicals or has a pungent odor, open up the windows to allow the fresh air to force the fumes out.