Of the chains listed, I can recall (locations I remember in brackets) that at least Steak & Ale (Baymeadows), Morrison's (Ameris/Gulf Life Tower, Wells Fargo/Independent Life Tower & more), Roadhouse Grill (Old St. Augustine Road), Howard Johnson's (Phillips Highway), Kenny Rogers (San Jose Blvd.), Bennigans (Regency Square) and Denny's were in Jax. Not sure, but I believe some of the others were too, my family just didn't patronize them.
How about Jack-in-the-Box (University Blvd. W.)? It's still around, but not in this area anymore. At one time, it was owned by the animal food company, Ralston Purina, and I thought its burgers came from one of their factories based on how bad they were. Even the bushes outside were plastic
. Also still around is Boston Market (San Jose), Swensen's (San Jose), Grandy's (San Jose Blvd.), A&W (Beach Blvd.) and Village Inn (San Jose) but not in Jax anymore.
There was also Victoria Station (Arlington), Big Daddy's nightclub (Beach Blvd.), Valle's Steakhouse (University Blvd. S.), Milligans (a NE Fla. burger chain), Specialty Restaurants (L&N at the Landing) and, in a similarly named corporation (Crawdaddy's on the Southbank and Hendersons/Bugsy's Hideaway/94th Aero Squadron at Craig Airport), Shoney's (University Blvd. W.) and Ryans Steakhouse (University Blvd. W.) Not sure if Smugglers and Firefox on Baymeadows were chains or not in their day. Pic N' Save stores also had buffets throughout NE Florida.
Others that may have been in Jax at one time include S&W Cafeteria, Frisch's Big Boy and Burger Chef but I will leave it to others to confirm.
No doubt there are many more but in the day's of yore, chains were far less prevalent than they are today.
Jax's biggest restaurant claim to fame: Home of the world's first Burger King on University Blvd. near Phillips Highway!
Originally called Insta-Burger, the first Burger King was founded by Keith J. Kramer and his wife’s uncle-in-law Matthew Burns in Jacksonville, Florida. With the help of their “Insta-Broilers”— ovens capable of cooking 400 burgers per hour—the two went on to open multiple Insta-Burger restaurants and become a franchise. In 1959, Kramer and Burns sold the company to Insta-Burger franchisees James McLamore and David R. Edgerton, who changed the name to Burger King. A place called Stan’s Sandwich now operates out of the original location.
http://mentalfloss.com/article/54809/original-locations-15-famous-food-chainsI also think the Hooters on San Jose Blvd. was #2 and for about a year, the company was HQ'd in Jax, having moved from Clearwater. From here, it moved to Atlanta. Maybe someone can corroborate this.