The chain I miss is Druthers. A burger chain that was pretty common in the south (I think), their jingle was "I'd rather go to Druther's, and I think I'll go today". They got bought out by Dairy Queen sometime in the 80's and they changed, a lot. I miss Druther's huge fish sandwiches, a huge seasoned, battered and fried fish on two big slices of rye bread and lots of tartar sauce. I still hold all fast-food Fish Sandwiches to that standard. Oddly enough, I think a few still exist from place to place, as I've seen the signs next to still-open fast food places at a few places in the deep south, but never got the chance to go in. My parents tell me that before it was Druthers, it was Burger Queen back in the 70's.
The other chain I miss is G.D. Ritzy's. It was a 50's themed burger chain. They had great shoestring fries and milkshakes. My favorite thing, above all, was their excellent chili dogs. Then one day around 1992 or so they all closed up overnight, no warning and no explanation. They didn't become another chain, the places just went to rot. I know a handful still existed after that, because on a high school field trip 4 years later we were on the other end of the state, and our bus stopped for lunch. The teacher said we were going to eat at McDonalds, but we saw an actual Ritzy's right next door to McDonalds, we all remembered how delicious their food (especially compared to McDonalds) was and hadn't eaten there in years and begged her to let us eat there, but she steadfastly refused and made us all eat at McDonalds.
As for Fazoli's, they are all over the place in Kentucky. Of course, this city has their corporate headquarters, so that probably has something to do with it.
Lee's Famous Recipe was another KFC pretender to the throne, they were really common around here about 20 years ago or so, but slowly died off. Some still exist, getting by, but it's clear they lost the war, and I haven't seen a new one open in more than a decade (and seen a good number close in that time).
Oh, and there are still lots of Applebees around here too. One county went Wet-by-the-drink about 2 years ago (i.e. no liquor stores, but resturaunts can serve alcohol), and Applebees moved in immediately and became a big thing in that small town.