Cindy, this has been done by a number of Hometalkers, including @Amy, @Lori Young, and others. Here are some posts that might help you out: http://www.hometalk.com/search?filter=paint+refrigerator
Not to throw a blanket on the painting party, but if your doors are rusting it is not exactly in "great shape." What this means is you have an insulation or gasket failure allowing cold air to get to that area where it is meeting up with the humidity causing condensation & rust.
The first thing to check is the humidity levels in your home - if they are over 50% you should knock those down, use your exhaust fans when showering & cooking, etc...
The second is identifying where the leakage issue is. If it is right at the gasket area, that is easily replaced or cleaned (one quick check is to use a dollar bill & shut the door on it, if it easily pulls out you have a gasket issue)
The final issue is the insulation has pulled away from the door allowing cold air to get past - there really is no fix for that besides replacing the unit.
To add on SLS post. If your fridge is old enough to start rusting, your paying way to much on electrical energy to operate it. Fridges should be replaced about every 10 years at least or sooner. There are many rebate programs that the utilities offer that will pay you a hundred bucks or so just to replace it. On an older fridge compared to many of the higher energy saver ones now available can save you up to 50% on energy costs. That can add up fast over a few years and pay for itself in no time.
Thanks to all for the advice, yes my frig is over 10 years old. I will look into the utility company to see if they might have some rebate, never would have thought of that one, thanks. I'll let you know what happens.
You probably clean it too judiciously as I once did mine. Instead of painting, why not wash it with a gentle cleaner, rinse it well, and apply a car wax to protect it from rusting further.
Home Depot had appliance paint in the appliance department. DO NOT use regular spray paint to fix it...I speak from experience.
I bought a new refrigerator..I got a great price because it was the floor model and was dented and dinged. My Son sanded it..used bondo, what they use on cars... sanded some more, filled in with a little more bondo..and used appliance paint on it. It is new and looks new.
There are great products out there, just think out side of the box.