You can sue a newspaper for printing lies about you.
May be. And they again, may be not: it depends on who "you" are (ie a public figure or a private person), on whether the "lie" could possibly be believable by a reasonable person, or is obviously a hyperbole, on how it is presented - as a fact or as an opinion, on how it is interpreted by a potential reader, and most importantly it depends a lot on where that newspaper was published.