Publix Super Markets once again was on top of the American Customer Satisfaction Index, but smaller regional players also gained. Lakeland, Fla.-based Publix tallied a score of 86, compared with a satisfaction score of 78 for the supermarket industry overall. Since the ACSI’s inaugural year in 1994, Publix has remained No. 1 in its category — a feat unmatched by any other company in the index.