This interesting article from New Scientist features an extensive listing of the 13 mysteries of science that -- in the mind of the author -- make no sense, ranging from cold fusion to suspected life on Mars and the benefits of homeopathy, in spite of the fact they exist.
That's what happens when people try to explain the world through a narrow prism as conventional modern medicine often does in diagnosing conditions treatable only with dangerous and frequently useless drugs and procedures.
What follows are more brief descriptions of the topics covered in this fascinating New Scientist piece.