delta76 - glass cleaner works wonders on SS. Or if you are in a country where you can get it, cleaning alcohol also works well to get rid of all that grime/grease/coffee marks.
As for me, what I would do first is a good micro fibre cloth lightly moisten with water or preferably distilled/RO/filtered water. Wipe it dry immediately. This is my favourite method of cleaning and keeps the machine and the splash back panel very clean.