At 28:19; the bookshelf to Cochran's left shows a hardback book with and American flag cover (top left on the book case); this book is "Executive Orders"; by Tom Clancy; which had not been released until 1996; a year after the criminal case had been decided.
The show has Jeffrey Toobin learning of Mark Fuhrman's racist past during his interview with Robert Shapiro. In real life, Toobin had already learned of Fuhrman's racism and his interview with Shapiro merely confirmed that the defense knew of it too and planned to use it at trial.
An anachronistic Subway Sandwich shop sign is pictured in an early scene. The logo pictured was not introduced until 2002. The Subway logo in use in 1995 was outlined by a brown oval, and the typeface was very different.