Country is anything produced and recorded in Nashville as opposed to L.A.
Sure, most of what is on the radio is "Modern Country", and just about anything before about 1980 is more "Country Western"..
I grew up in a house where the old man would put Willie and Waylon, Neil Diamond, or Kenny Rogers on the turntable every Sunday. These days I listen mostly to Country on radio, and on Pandora my favorite stations are Zac Brown Band radio, Kid Rock radio, Red Hot Chile Peppers radio, and Crazy ---smurfette--- radio, in no particular order.