Even before the late Luby's served its first piece of fried fish, we had the first local location of Piggly Wiggly across the street from it. First opened in 1963, I can't nail down when it exactly it closed, but it seems to have been around 1980, give or take a year (and why it had an even number despite being on the odd-numbered side of Texas Avenue I don't know).
Piggly Wiggly in our corner of the world was owned by Piggly Wiggly Red River Co., which mostly owned the stores between I-20 and I-10 plus north of Dallas-Fort Worth, including Waco-Temple-Killeen, Conroe, Georgetown, Sherman-Denison, and Bryan-College Station. This was their first area store. In 1983, these stores were sold to local operator Six Star Foods, which kept three stores plus a store in Hearne limping along until they were closed in 1985.
Unfortunately, the Piggly Wiggly here didn't even last to the point where it was sold to Six Star Foods. Instead, the store closed, and in 1981, part of the store (suite B) was reopened as a discount grocery store, Jewel T. Owned by the same company running the Jewel-Osco stores in the Chicago area (and a play on the name "Jewel Tea", their original name), Jewel T was a discount store reportedly similar to Aldi and took residence in older-generation grocery stores. Unfortunately, details are sparse on this elusive store, and it didn't last long. In 1984, The Jewel Companies were bought by American Stores, and Jewel T was sold off to Save-a-Lot, but the Texas division was bought by Grand Prairie-based Shop-N-Sav and renamed Texas-T.
In 1994, Texas-T was bought from them by Save-a-Lot's parent company, SuperValu, and converted to Save-a-Lot (the rest of the Texas T stores were) before closing for good a few years later. It's not surprising if Save-a-Lot closed soon after, a failed stand in College Station is pretty much forgotten (and hey, that was an old Piggly Wiggly, too!)
After Save-a-Lot closed, it became Jacque's Toys & Books, a local upscale "learning toys" store. Now, Jacque's would claim it's been around since 1986 (the "start of business" time), but not in that space. It was originally called "The Toy Box" and located at 3806 South Texas Avenue (later home to Brazos Blind & Draperies) and in suite A from 1990 to 1998, and then jumped to Suite B following Sav-a-Lot's closure. Jacque's closed in September 2016.
If I have my chronology right, the left location (suite A) later became Brazos Valley Christian Books (coincidentally, located at 3808 Texas Avenue in the early 1990s) and later Pack & Mail, which closed in the latter part of the 2000s. It's now been subdivided once more, as you can see in my pictures. Because I don't have actual address-based directories, I haven't been able to ascertain what was in suite A after Piggly Wiggly's departure.
It's important to note that although Piggly Wiggly was at 4300 Texas Avenue, but while the shopping center is still called that, none of the stores have that address (which makes sense, at some point the address was corrected). Even before Sav-a-Lot left, there was one other "grocery store" at the center--at 4303 Texas Avenue (opened in 1988, as long as I can remember), was Brazos Natural Foods. The store had long been a purveyor of organic and gluten free items long before the mainstream supermarkets had them, but the store closed in early 2021. There are also additional storefronts on North Rosemary Street. 700 N. Rosemary is vacant (no clue what was there), 702 N. Rosemary being the long-time home of water purification company Jacob's Well (though the picture on their website is not of this location), and 704 N. Rosemary being Laina Salon (and formerly Nori's Hair Studio, though indications are it essentially renamed...and for a short time was "Nori's Hair Studio & Reflexology). The addresses jump to 710 N. Rosemary, and this was Awards & More, which was located here from 1999 to around the mid-2010s (it has since relocated). Today, the space being occupied by Curious Collections Vinyl Records & More, which has been here since 2017.
The current Google Maps imagery shows Aggieland Preschool Academy at the old Jacque's and Lone Star Quiltworks and BCS Fitness on the left.
UPDATE 07-22-2021: Rename to "Former Piggly Wiggly at Texas Avenue & Rosemary", minor rewrite, especially involving the backstory of some tenants and adding the Rosemary tenants.