Removing Rust Stains on Refrigerator Doors

I had that same problem years ago with a textured finish refrigerator. Back then, I ended up buying contact paper the same color (almond) as the fridge, and covering the front. It blended in very well and lived like that until the fridge finally died. Today, there are people who refinish large appliances, and that might be an option for you if you are planning on keeping it for some time. Also I noted on the Internet that there is material that you can apply to your fridge to make it look like it's stainless steel. There are paint kits for DIY.
Hope that helps.