Taxi DriverGoofs
Continuity
In an earlier version, Iris's timekeeper discovers a weapon on Travis, disarms him, then returns it to him as he's leaving. The scene was edited out, but the gun is still in the timekeeper's hand when he looks at his watch.
Travis burns the flowers in the sink. Soon after, when he puts money in an envelope, the flowers are on the floor behind him.
Travis has a shorter haircut only for the "Secret Service guy" scene.
Factual errors
While Travis is examining various guns with the gun dealer, the latter states that the German Walther PPK pistol replaced the P.38 pistol during World War II. In fact, only a small number of PPK's were issued to German forces during the war. Most German sidearms were P.38's and Lugers.
On a newspaper clipping at the end about Iris and her family, Pittsburgh is misspelled as "Pittsburg," without the "h."
Travis, a Marine Corps veteran who states he was discharged in 1973, wears embroidered Navy parachute wings on oval cloth patches on the two military jackets (one of which is an anachronistic WWII-era "tanker" jacket) he wears in the film, which would indicate he was in Marine Force Reconnaissance (Recon). The wings patches are incorrectly placed on the right breasts of the jackets, as U.S. military qualification insignia are always worn on the left breast.
Incorrectly regarded as goofs
Iris's sunglasses change from green to blue when they're having breakfast. This is a character quirk; she changes her glasses periodically, as the person Iris was modeled on did this.
When Travis is buying the guns, he holds the gun in his right hand, but he sights down the weapon with his left eye. Although this is uncommon there are a number of right handed shooters who are "Left-eye dominant". This can be uncomfortable when shooting high powered handguns as the hammer tends to kiss the shooters forehead.
When Travis oils his sliding gun contraption, he does not take the cap of the oil bottle. The 3-in-1 oil does not have a removable cap. The red thing on the tip is a closure. You pull on it to open and press to close. It does not remove completely.
Revealing mistakes
While Travis is checking the .44 Magnum revolver offered by the gun dealer, the cylinder emits a clicking sound while he spins it. In fact, the cylinder of a double action revolver such as this one does not click when it is rotated.
Miscellaneous
When Tom escorts Travis out of the Palintine HQ, there is a crack in the lower part of the glass door. When Travis pushes open the door it swings open and hits the stop, the glass breaks out of the door frame and falls on the steps. The glass shattering can be heard in the dialog track. Tom (Albert Brooks) notices this but ignores it and calls for the policeman across the street.
Travis says July when reading out loud his message to his parents on the anniversary card. When the card is shown on screen, it appears to read June.
Crew or equipment visible
When Travis is negotiating with Matthew for Iris' services, an off-camera voice says "But no rough stuff." just before Matthew says it.
In the shot from Travis' point of view, when he passes the Palantine office and sees that Betsy is not at her desk, the cameraman and dolly grip are clearly reflected in the window.
Reflected in a storefront window, in a drive-by shot of the campaign headquarters.
Plot holes
When Betsy gets into Travis's cab in the final sequence, she never tells him where to take her. He just starts driving.
Character error
The first time Travis has coffee with Betsy, Travis' voice-over states that he had black coffee. A few moments later, milky coffee is visible.
The black-market gun dealer misidentifies the .380 Astra Constable in his case as a Walther PPK. The guns are very similar, so it could be an easy mistake or a deliberate lie. He tells Travis the Walther PPK .380 replaced the P-38 as the standard German military sidearm in WW2, which is false. The P-38, a full-size pistol, replaced the P-08 (Luger) as the standard military sidearm. The PPK was a compact pistol for use by police (PP stood for Polizeipistole) and personal protection, not as a combat sidearm.
According to the exterior shot, and the Then-and-Now Special Feature on the 2-disc DVD, Iris lived at 226 East 13th Street. Travis writes "240 East 13th Street" on the envelope containing the letter and $500.