When Meredith sees Tom in a store in front of the Spanish Steps, they take a walk, and come down the Spanish Steps, past the store he was just in, and turn left.
Tom supposedly only has the green corduroy jacket in Italy, but we see him wearing a black sport coat upon his arrival.
In the last scene, Tom is wearing a scarf in one shot and it's completely off in the next after showing that he just put it on.
When Ripley and Dickie are playing chess, Dickie moves a pawn. A
bit later, we see a close-up of the chess-board, where Dickie makes the same move again. In addition to Dickie making the same move twice, other pieces change position in different takes in the chessboard scene.
When Marge attacks Tom on the pier, his arms go up to fend her off, then he finger-combs his hair, but in the very next shot his arms are straight at his sides.
After Silvana (the "other woman") floats ashore and is lying dead in the old woman's lap you see her spit water out after a wave goes over her face.
The 'glasses' Ripley wears throughout the film often do not have lenses in, revealing them as a prop. This would be explainable if they were being used as a disguise, but Ripley always puts them on before reading or using his binoculars, meaning he needs them.
When they are all out to sea, Marge comes out of the water and walks to Tom who sits alone on the boat. Water marks are visible on the deck showing evidence of a previous take.
When Tom opens Dickie's faked suicide letter, the year is typed as "I959" with an uppercase "I." Manual typewriters did not have a numeric "1," but the correct character to use in its place would be a lowercase "L."
At 2:06 the flag halyard is all tied on the cleat. Next time it appears, there are only two turns around it.
When Tom talks to Marge after he returned home from San Remo, the cover of a Miles Davis LP is visible in the background. It's the cover sleeve of "Tutu" which was released in 1986. However, the movie is set in 1958.
Tom sets his modern blue-covered U.S. passport on a desk. In
the 1950s (when the film is set) American passports had green covers.
During the opening scene in 1958 New York, the Sony Tower (formerly the AT&T Building), which was built in 1984, can been seen beyond the southern border of Central Park in several shots.
When Ripley and MacCarron are on the balcony in Venice, a 1998 car ferrying motorboat can be seen in the canal.
The ship Tom takes to England is the Queen Mary, shown passing the Manhattan skyline. But the lifeboats are covered with blue canvas tops, not installed until the ship became a hotel and convention center in Long Beach CA.
When Tom is talking to Peter while playing the piano, there is a moment where he pulls his arms away. The piano plays on before it stops like a full second later, revealing it to be dubbed.
When Dickie and Tom are riding down the country road on a scooter, you can see the shadow of the crew and camera on the rock wall.
When Peter and Tom go to meet Marge (at around 44 mins), on the left of the screen when the glass door closes, you can see the reflection of a microphone and a camera.
When the main characters go to the opera in Rome, the theater
is the San Carlo in Naples.
When Tom and Dickie are in the boat on the sea of San Remo, the
Isle of Capri, 800 kilometers distant, can be clearly seen at the horizon.
When Ripley and Peter take the ship to Greece, the sun sets to the port side of the ship, indicating that the ship is traveling roughly northwards instead of eastwards as it should be if it's sailing from Italy to Greece.
Dickie gives the helm to Freddie, saying, "Just point her at Capri." In fact, at that exact moment, the yacht is headed northeast from Ischia island, easily recognizable by Castello Aragonese. Capri is southeast from that point.
When Tom and Dickie are in the boat on the sea of San Remo, in the background is visible Casinò d'Anzio situated in town of Anzio, some 60 km south of Rome. It's the same building of the previous jazz session scene.
Detective MacCarron makes a point of lecturing to Tom that U.S. police are trained to check a fact before it becomes a fact, yet he never seemed to verify if all the people who thought Tom was Dickie were actually seeing Dickie instead of Tom, which a simple photo comparison would have determined.