Don't know about the history of this one store, but the chain's website is interesting. On the history page, they actually
admit that they stole the name (and originally the color scheme) from the more well-known Acme chain. I guess you could get away with things like that back then, although I wasn't aware the Philadelphia stores were actually using the Acme name yet in 1900.
Acme of Akron's history page:
http://www.acmestores.com/history.html
It is a really great store, by the way.