The shopping arcade debuted in the United States in 1828. Over the next 90 years, several more were built. A partial listing of these would include the following;

PULLMAN'S ARCADE (1885) {Chicago, Illinois},
CLEVELAND ARCADE (1890) {Cleveland, Ohio},
NASHVILLE ARCADE (1902) {Nashville, Tennessee},
DAYTON ARCADE (1904) {Dayton, Ohio},
PLANKINTON ARCADE (1916) {Milwaukee, Wisconsin} 
PEACHTREE ARCADE (1917) {Atlanta, Georgia}.

Often cited as "America's earliest shopping malls", arcades are really not malls in the traditional sense. The (quote / unquote) "shopping mall", which debuted in the early 1950s, was suburban in orientation, surrounded by a large auto parking lot and featured at least one large department store as its "anchor".

Arcades, with their central city orientation, lack of automobile parking and boutique-type tenantry, could be better categorized as 19th century shopping arcades or galleries.