The absolute best cheese-burger in Lexington can be found at Sawyers downtown...across from the Hilton (formerly the Radison) and also across from De Shas restaurant...
If you haven't tried it yet, please do and then post a reply and let me know what you think, they also make their own homemade potato chips ( I prefer their fries but hear great things about their chips)
Also hear that their homemade chili is the best in town!
I second that motion on Ramsey's for the best home cooked meals in Lexington and Missy's Pies Rock!