It depends on what statement you would like to receive through email. Your question doesn't mention any specific company such as bank, cell phone carrier company, gas bill, hydro bill, car insurance, house insurance. Most of them will have an option to choose "Electronic statement through email" in their own company website.
You need to create an account and register yourself through their website first, before you can choose "Email statement" option. After that, you will stop receiving any paper mail statement and instead receive a digital copy of bill or correspondence through your email.
