Back in the 1930s Colt developed a few experimental fully automatic M1911 pistols. It is hard to believe that anyone thought that a .45 ACP machine pistol was a practical idea!
The most famous fully automatic 1911 would have been John Dillinger’s which was chambered in .38 Super. His was a standard 1911 which he had modified so that it would be fully automatic.
More full auto .45′s over at Casatic.