injure, harm

損害(そんがい)	Damage – to your body, but also to your property. Often used when you lose money on a deal. Usually implies that the damage was not intentionally caused.

傷める(いためる)	The verb form of 痛い – to hurt. Emphasizes the feeling of pain rather than the physical cause.

被害(ひがい)	Damage (to property) or casualties (human):used about earthquakes, wars, and crimes. $$$

損なう(そこなう)	Usually financial harm or financial damage:機嫌を損なう（きげんをそこなう）