Question: What was happening in the scene that was cut from the final edit?
About the article "Toy Story", section "Editing and pre-release".

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  In the original script and in early cuts of the film, a scene was featured when Osmosis and Drix go to the Gonad's Gym.
It involved them talking to the "exercising" sperm cells.
The scene was cut in order to stay family friendly.
The Gonad's Gym logo does appear on Drix's suitcase during a scene in the police station locker room.
In an earlier "cut" of the film, Osmosis and Drix visit an amusement park behind Frank's eye, called "See World".
A sign advertising the latter can still be seen near Frank's stomach, which functions as the "arrivals" terminal of an airport.
The DVD release contains three extended (and half-animated) scenes, all of which appear in cut-down form in the final edit: * Osmosis and Drix visit the eyes, while Drix complains that he has to visit the nose and the throat.
Osmosis gets doughnuts and calls the information desk on his 'cell' phone while at the eyes.
* Frank picks his nose during the dam-bursting sequence, and Osmosis saves Drix from ending up on Frank's fingertip.
In the end, they are inhaled into the sinuses.
* The race to catch Thrax on his way to the uvula is extended; we see him leap from his car and glide away.
After Osmosis takes the wrong turn, he takes a "shortcut" to there by way of the esophagus, riding a massive, acidic belch up the throat (a reference to the 1991 classic "Thelma & Louise").
He says "What the hell is a uvula?"
It was later edited from hell to heck.
A draft of the script reveals that Osmosis, as a young boy, went to a family reunion.
At that time Frank went to the doctor to have some blood removed, possibly in a blood drive.
The needle drew out all of Osmosis' relatives, apparently leaving him all alone.
This would have add to his "loneliness" in the film.
The ending has Frank getting a blood transfusion to save his life, with his own prior blood.
Thus Osmosis' relatives would have returned, in a parody of the abductees returning in "Close Encounters of the Third Kind".
This was detailed in the film's commentary.
Another scene that was deleted so as to cut time was one where it showed how Phlegmming got kicked out of the office.
In the final cut it's assumed that he was impeached or that he simply lost his run for re-election but in a deleted scene he realizes all of his mistakes and willingly resigns thus putting Tom Colonic in office.
This explains how he lost office at the film's end.
This was supposed to connect with a scene when he sees the city going up in flames and sheds a tear upon realizing all that he has done has caused Frank's near-destruction (this scene being left in the final cut).  
"American Beauty" was edited by Christopher Greenbury and Tariq Anwar; Greenbury began in the position, but had to leave halfway through post-production because of a scheduling conflict with "Me, Myself and Irene" (2000).
Mendes and an assistant edited the film for ten days between the appointments.
Mendes realized during editing that the film was different to the one he had envisioned.
He believed he had been making a "much more whimsical ... kaleidoscopic" film than what came together in the edit suite.
Instead, Mendes was drawn to the emotion and darkness; he began to use the score and shots he had intended to discard to craft the film along these lines.
In total, he cut about 30 minutes from his original edit.
The opening included a dream in which Lester imagines himself flying above the town.
Mendes spent two days filming Spacey against bluescreen, but removed the sequence as he believed it to be too whimsical—"like a Coen brothers movie"—and therefore inappropriate for the tone he was trying to set.
The opening in the final cut reused a scene from the middle of the film where Jane tells Ricky to kill her father.
This scene was to be the revelation to the audience that the pair were not responsible for Lester's death, as the way it was scored and acted made it clear that Jane's request was not serious.
However, in the portion he used in the opening—and when the full scene plays out later—Mendes used the score and a reaction shot of Ricky to leave a lingering ambiguity as to his guilt.
The subsequent shot—an aerial view of the neighborhood—was originally intended as the plate shot for the bluescreen effects in the dream sequence.
Mendes spent more time re-cutting the first ten minutes than the rest of the film taken together.
He trialled several versions of the opening; the first edit included bookend scenes in which Jane and Ricky are convicted of Lester's murder, but Mendes excised these in the last week of editing because he felt they made the film lose its mystery, and because they did not fit with the theme of redemption that had emerged during production.
Mendes believed the trial drew focus away from the characters and turned the film "into an episode of "NYPD Blue"".
Instead, he wanted the ending to be "a poetic mixture of dream and memory and narrative resolution".
When Ball first saw a completed edit, it was a version with truncated versions of these scenes.
He felt that they were so short that they "didn't really register".
He and Mendes argued, but Ball was more accepting after Mendes cut the sequences completely; Ball felt that without the scenes the film was more optimistic and had evolved into something that "for all its darkness had a really romantic heart". 
Russell T Davies started writing "Journey's End" in January 2008.
A scene filmed showed the Doctor giving Rose's Doctor a small piece of "coral" from the TARDIS so that he could grow his own TARDIS.
This was removed in the last edit of the episode, but was ultimately cut because the production team felt it made the Bad Wolf Bay scene "too long and complicated"and that producing another TARDIS should not be seen to be so easy.
The clip was included on the Series 4 DVD boxset.
Another additional scene with Donna was cut from the final episode: ""There was an additional Donna bit after this goodbye from the Doctor, which is when he goes outside into the TARDIS, we cut back into the kitchen, and there's a moment where Donna hears the TARDIS... there's a moment of realisation, and then she turns back round and carries on talking into the phone.""
Gardner considered this scene untruthful and too confusing, since Donna remembering would lead to her death, and since she didn't recognise the Doctor it wouldn't make sense to assume she would recognise the noise of the TARDIS. 
Actor Steven Wiig was cast in the role of Häyhä in the 2012 HBO docudrama "Hemingway & Gellhorn".
However, the scene that included Häyhä was cut from the final version of the film to reduce the overall running time. 
The episode was premiered in Canada on 12 December 2008.
Although the Canadian Broadcasting Corporation is credited as a co-producer, the CBC used a version used for international distribution that cut 21 minutes from the episode to fit it in a 60-minute timeslot with advertising.
This edit removed numerous subplots as well as the final farewells by the various companions, as well as the final scene of the Doctor alone in his TARDIS.
The CBC subsequently streamed the unedited version of the episode on its website.