The great discovery was beyond obvious (spoilers, obviously)
When Turing "discovers" that a particular message always starts with the word "weather" and always ends off with "Heil Hitler", the movie hails this as a brilliant insight. This becomes the turning point of the film, and Enigma is cracked. What utter rubbish. This is absolutely the first thing they would have done, and, according to Wikipedia, the first thing they actually did do.
This is the basis of cryptography. When you do the Cryptoquote in your daily newspaper, the absolute, very first thing you do is look for words that are one letter. That word can only be "a" or "I". You also look for repeated words of three letters. That word can almost always only be "the" or, less likely, but possible, "and."
We here in America who have been doing the Cryptoquote and/or watching Wheel of Fortune for the past 30 years know this.
Any cryptography team worth its salt would know this.
This "brilliant insight" was incredibly shallow and ultimately silly. I was wondering the whole movie why they weren't reverse engineering this and doing this from the start. Now I know it's because the screenplay writers dumbed this down to the level of retards.
I want the doctor to take your picture so I can look at you from inside as well.