Actually the immune system gets rid of millions upon billions of bad cells everyday that are cancerous, or potentially cancerous. Cancer is caused by many many different gene mutations that happen because of aging, exposure to chemicals, smoke, alcohol, tar etc etc etc. . They are our own cells, but with fundamental differences. They no longer know how to die, they can metastasize, create blood vessels, and have a hyper state - they no longer have a resting phase. The immune system can no longer fight them. There are certain cancers like melanoma, that do go into spontaneous remission, and one of the main treatments for melanoma is meant to try to push the immune system into overdrive to fight the melanoma.
Boosting the immune system is complex. Many supplements make the claimthat they are immmune system boosters, but immune system health is likely tied to a number of factors- adequate nutrition, especially in childhood when the immune system learns its job, exercise, body weight, adequate vitamin D, sleep, limited exposure to toxins and heredity. Freedom from stress, loneliness, grief, and the presence of love, and caring, adequate social interaction have also been shown to affect the immune system and resistance to disease.