It is a good movie. It introduced Turing to the masses in a compassionate way. Also it showed normal people that cryptography, despite being rather boring and mathy, is extremely important in everyday life.
I would agree that is an enjoyable movie but also terrible history - but then most movies that deal with historical events are wildly inaccurate - usually for fairly understandable reasons.
I was lucky enough to see the stage version of Breaking the Code - Derek Jacobi was outstanding:
I also enjoyed Breaking the Code – https://www.imdb.com/title/tt0115749/