The Dollar Store/Tree has a cleaner called Awesome Cleaner. It is fantastic at removing grease. I use it on my stove top. You don't need to dilute it, just spray it on.
soap and water
Dawn dish soap and water. Vodka. Rubbing alcohol.
Well you certainly could! A bloody mary sounds lovely right about now . . . Vodka works to cut greats on stainless and granite or marble without the acid that can ruin the finish. Try it with some cheap vodka. Works great! I have a cheap bottle in the house just for cleaning.
Try citric acid and baking soda (1 tsp of each) on a small area. Scrub with a dry paper towel, rinse and dry.
I love Dawn dish soap… works great on stainless steel.
just wipe it down with clorox wipes as soon as you see even little grease that way it will take you less than a minute and you wouldnt have to deep clean it ever!