Continuity mistake: When Dr. Stone's assistant helps him up from the floor, there's a lopsided, circular diagram drawn on the chalkboard behind them. One shot later, the diagram has changed into a perfectly round circle and has moved itself several inches higher on the board.
Continuity mistake: In the scene after the second crash, when the pilot and his wife "borrow" the jeep to return to the base, the shot is flipped, reversing the positions of the husband and wife in a mirror image of the real vehicle, placing the "driver" in the passenger position and the spare tire, which should be on the near side, is now on the far side. In the next shot, as the vehicle nears the base, everything suddenly resumes the correct perspective.
Continuity mistake: From the Mars rocket's cockpit, Boomer hears Thomas scream once, shouts, "I'm coming!" and races out. When Earth Command hears this on delayed radio transmission 3.5 minutes later (it would take much longer than that from Mars, by the way), there's added dialogue, and this time Boomer never says "I'm coming." We also hear Thomas scream twice instead of just once.
Continuity mistake: Trent and the Kiban agent crash through a glass window during their fight in the attic. After Constanza pulls off the alien's medallion and disintegrates him, Trent, who is bent backward at the waist over the windowsill, has instantly moved between takes to a position much farther out onto the ledge.
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Continuity mistake: Trent pushes three of the hand-shaped computer's fingers back as far as they will go, as it instructs him to do. In one brief shot after this, the fingers have returned to their normal position. One shot later, they're pushed back again.
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Continuity mistake: Eck tears a leaf from Stone's notebook. But the close-up insert of the page and the following shot of it being torn out reveal two completely different sheets of paper. The first has only a brief list of four names and addresses. The second is covered with handwritten notes. They don't match, yet they're supposed to be the same page.