When you think about just how many different grocery store chains there are in America, it makes you start to wonder a bit as to why Amarillo doesn't have many of them. H-E-B Grabs A Huge HonorOne of the stores many scream for is H-E-B. I mean, it's just a grocery store, right? H-E-B has been named the TOP grocery store in America, according to a survey done by dunnhumby. As far as Amarillo getting an H-E-B, especially after the expansion in Lubbock, it still comes down to getting a distribution center closer to Amarillo to make it feasible.