Country music for someone that doesn't listen to it?

Lol. First, you need a lesson in what country music is. Those two songs you listed are not country. And second, not every country singer sings about the country or has "corny" lines as you said. Check out George Strait. The majority of his songs don't talk about the country. He's got a lot of great songs. You can also check out Merle Haggard, Waylon Jennings, Johnny Cash, and singers like that. If you want some country with rock in it then try Eric Church, Jason Aldean, Jake Owen, Brantley Gilbert, Garth Brooks, Miranda Lambert, and Gretchen Wilson. There's plenty of other singers out there that don't always talk about the country, you just have to browse around and see what you like.