X-rays and gamma rays can cause mutations to the DNA in cells in the body. This may kill cells or cause Cancer.
UV in sunlight can damage skin cells causing Sunburn. Over time exposure to UV can cause skin cancer. UV can also damage the eyes.
Infrared radiation transfers heat energy. Too much infrared radiation can cause skin burns.
Microwaves heat water-so they can heat water inside our bodies. Heating cells can damage or kill them.