The results of Rothstein's first card deal on the table are not visible subsequently.
Ben Siegel is frequently called Bugsy to his face and even refers to himself as Bugsy.
In real life Siegel hated his nickname and would not tolerate anyone calling him Bugsy.
In the ending credit epilogue, it's stated that Meyer Lansky died one of the richest men in America. This isn't true, Lansky invested heavily in casinos and resorts in Cuba, After the Cuban Revolution in 1959, the Cuban government seized all assets from foreign investors. Lansky's estate was worth a mere $57,000 upon his death. He maintained that Cuba ruined him as he was once worth over $300M prior to the Cuban Revolution.
The Internal Revenue Service is mentioned twice as having
investigated income tax evasion. Before 1953 the IRS was the "Bureau of Internal Revenue"; it was changed to Internal Revenue Service to emphasize "service" to taxpayers.