In the movie you have thousands of robots running around killing and injuring countless humans. That's something I'm quite sure would never happen in Asimov's writing.
Asimov was unique in that he was the first to start with the premise that humans _could_ safely develop advanced robots, rather than using the "robot uprising" trope that everyone before him used (all the way back to the first use of the term "robot" in Karel Čapek's R.U.R.). So, despite that groundbreaking approach, what do we get in the first major motion picture about his robot series? A robot uprising...