And when you've got it clean, mix up a thick paste of Bicarbonate of soda and water, and apply it thickly to the cupboard tops. This wont stop the fat settling, but it will stop it sticking. This also works inside ovens, and saves a Hell of a lot of work.
Have you thought about something like MukOff, which is used for cleaning cycles? I know this is an odd suggestion, I think this is terrific stuff, is designed for shifting hardened grease and cleans just about anything! Spray it on, leave it for 5 mins and see what happens. Try it on a bit first, obviously.
I've used on similar jobs with great results - some of these household cleaners aren't all that good at shifting old dried muck.
Someone, no doubt, will tell me this is a daft idea .....
Then get some self-adhesive vinyl, as I think someone suggested, which you can change every so often.
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