My friend Mike over at Houston Historic Retail has cataloged a bunch of restaurants that tried to make their stand in the Houston area that no longer exist (or at least in the Houston area). Most of these, of course, never made it to the College Station area (or in the case of Wienerschnitzel, never left)—Herfy's Hamburgers, Piccadilly Cafeteria, and Steak N Shake were no-shows in the area. Of course, in Bryan/College Station a number of restaurants have come and gone as well. As B-CS is a small market, most of these had a single location if they came and went. Texadelphia of course counts (their total store count ebbs and flows) and so would Luther's Bar-B-Q (it exited College Station soon after the chain was sold in the mid-1980s—if Luther's stuck around to 2005, we would have had Pappas Bar-B-Q in that space). Beyond that, there's not a lot of good examples, though, as the area isn't big enough to have its own cluster of restaurants try their hand at the area and the chains that have closed (On the Border, Luby's, Red Lobster, Hooters, etc.) have done so as part of larger chain retractions. An early case of this was Roy Rogers, a restaurant chain named after the eponymous Western film star (and today only left with a few dozen locations). It was built when parent owner Marriott was expanding the chain, with the Texas stores owned by franchisee Ram-Hart Systems. The Bryan location at 2706 S. Texas Avenue was one of the stores Ram-Hart Systems opened (opening in 1969)1 but just a year later, Marriott slammed on the brakes of the chain's expansion due to many locations underperforming (stores like this one, no doubt). In particular, Ram-Hart Systems went bankrupt in 1971 and this was one of the stores it went down with.2
Marriott would eventually sell Roy Rogers (part of divesting their restaurant operations) and today the closest Roy Rogers restaurant to here is in the Washington DC area. There's only one picture of what was once Roy Rogers in Bryan. The picture's a little dark but this is how most Roy Rogers stores of the time looked, and a better picture can be seen here on Reddit (even though that Roy Rogers is in New Jersey, not Bryan). By January 1972, however, less than three years after Roy Rogers opened, a drug store called Discount Apothecary was operating in the space. Within a few years, it had renamed to Ellison Apothecary, eventually becoming Ellison Pharmacy before moving out to East 29th Street around 1998. In 1999, the site was redeveloped as Guaranty Federal Bank (later just Guaranty Bank). With the failure of Guaranty Bank in 2009 (in which it was merged with BBVA Compass), the bank was closed instead of rebranding and reopened as Extraco Bank in April 2011, which it continues to be today.
By the way, the definitive list of "Texas Avenue Restaurants" if you want to explore them all (should be around 60+) can be found here.
1. The Denny's next door opened the same year and fared significantly better. It operates as the Kettle today.
2. The Houston stores got new franchisees, but these eventually closed in the 1980s.