Both are unproven/highly unorthodox, but if I had dents this is what I would do.
1) Most panels are removable on appliances...open them up and gently/slowly try to work the dents out maybe using a rolling pin and a very flat/smooth surface with some scratch protection on the "good side" of the appliance door.
2) Not all people are mechanically inclined so option 1 may not work - there is that infomercial tool pops-a-dent or somthing like that that you can try, but it may make things worse.
3) you can try calling your local Dent Wizards and just ask if they could do for an appliance the same technique they use on cars..it'll probably be $100, but if the dent really bothers you it's better than the replacing it.