Pink Floyd's 1983 album, The Final Cut, shares a character with this film, Fletcher (named after Roger Water's father). It isn't clear if this connection is deliberate, but the album also features overtones of tragic loss and memories.
In the scene where Alan is reviewing newspaper clippings regarding Bannister's death, the final byline regarding Bannister's heart attack is written by "A Karpov." Anatoly Yevgenyevich Karpov, PhD is a Russian chess grandmaster and former World Champion. He was the official world champion from 1975 to 1985 when he was defeated by Garry Kasparov.
In the final shot of the movie, Alan (Robin Williams) is seen looking at himself in the mirror. He turns away and exits the frame and the scene ends. If the camera is in his eye, his field of vision would have changed, and even if the camera was just in his body, it would not have remained there as he exited the screen.
This is a deliberate mistake by the filmmakers. DVD commentary verifies this is to have a poignant and ending and to throw the audience off at the last second.
The paper announcing Bannister's death states that he was 54 when he died. But, when Alan loads his implant for the first time, it states that there are 544,628 life hours to review. That number of hours would make him over 62 years of age.
Alan: Then you know what it's like to be haunted. One memory... one single incident has made me who I am. It won't leave me be. The guilt tears me apart.