Non-itchy and peeling skin rashes all over the body are a sign of toxic shock syndrome, according to MedlinePlus. The rash resembles a sunburn, and the skin starts to peel from one to two weeks after it appears.
Besides the rash and peeling, other symptoms of toxic shock syndrome may include general malaise, low blood pressure, diarrhea, nausea and vomiting, notes MedlinePlus.
Scarlet fever is another condition with a non-itching rash that is followed by peeling skin, according to the Centers for Disease Control. Those with scarlet fever may also suffer from a bright red sore throat, fever, nausea and vomiting, an aching head and body, and a characteristic "strawberry" tongue. The skin begins to peel about a week after the rash appears.