This does not meet your qualifications for Sunday dinner but it reminded me of a place that I used to eat in Lexington. It is called the Chicken Casa. I HIGHLY recommend you stop in if you are in the Lexington area. Seriously just take some home with you after applebees.
Basically it is a little Mexican restaurant in a small strip mall off on Nicholasville road. We stopped in by accident one day after missing a turn. The specialize in grilled "veracruz" chicken. This is what you order, what you get on the side doesn't matter. Everything is cheap, but very tasty.
I'm not exaggerating when I say this...it is the best chicken I've ever eaten. It will blow your mind. I used to go every single week and there was never anyone there when I went and I was always scared to death they would be closed the next week.
However I just checked on Urban Spoon and looks like they are still getting good reviews.
http://www.urbanspoon.com/r/65/1525440/restaurant/Zandale/The-Chicken-Casa-LexingtonHonestly any hot byters who are in Lexington please check this place out.