(at around 28 mins) When Kay-Em's nipples fall off, they make a metallic sound when they hit the floor. Since they were supposed to be like the real thing, they would have been made of the same material the rest of her skin was made of, which would not have made such a noise.
(at around 26 mins) When Jason's mask is removed after his arrival in 2455, his face is revealed to be grotesquely gruesome, with a noticeably protruding jaw. However, through the rest of the film, it is obvious that this cannot be the face that is behind the hockey mask. When seen up close, Jason's eyes (both his good eye and bad eye) are revealed to be much more human-looking, as are his facial features around his eyes and around the mask. His jaw is also not protruding as conspicuously with the mask on.
(at around 1h 5 mins) When the android steps up to fight Jason the first time, he throws his machete at her and hits her square in the chest. For the rest of the movie there is no hole in her jumpsuit.
(at around 1h 6 mins) When Kay-Em jumps on the platform while attacking Jason, she is shown crouched down and says "Hey!" and she is clearly missing her black latex gloves, but in the next shot the gloves are back on.
(at around 11 mins) The robot (Kay Em-14) states that the KryoGenic-unit was manufactured in 2010. Later (at around 17 mins) the same robot says that "she" (Rowan) has been "down" (frozen) for "4.55 centuries". Finally it's stated that the year is 2455, meaning that the machine was manufactured only 4.45 centuries ago, not 4.55.
(at around 38 mins) When Dallas and Azrael come out of the VR game, the wide shot shows that they are holding the VR controls in their hands. When it cuts to a close-up of Azrael, the control is suddenly on the ground.
(at around 1h 6 mins) When Kay-Em is shown firing at Jason with the two pistols her arms are straight out in front of her, but in the shot from below her elbows are bent and she's firing from waist height. In the next shot, her arms have returned to being straight out.
(at around 1h 5 mins) When Jason throws the machete through the recently upgraded android, Kay-Em, there is a side on shot of the android with the blade protruding out of her back. She is clearly not wearing any sort of back pack. However in the very next shot of her from the front you can see the holster that is holding her rifle, securely fastened to her back.
(at around 12 mins) When Azrael picks up the frozen coffee cup, it gets stuck to his hand. When he first picks it up, it is attached to his hand straight up and down, but in the next few shots, it is crooked.
(at around 28 mins) In the build to Adrienne's death, she puts her hair in a tight bun after she has removed Jason's eye (holding it in place with a large clip). However, once Jason has sat up, you can see that her hair is now in a long pony-tail.
(at around 1h 18 mins) When we first see the TMF emergency vessel, it extends a "lifeline" docking bridge from its ship into the Grendal. However, when they are departing the lifeline disconnects from the TMF and remains on the Grendal.
When Jason is outside the ship and punches the hole to get back inside, the crew rushes to the door and close it because the lack of pressure is causing them to be sucked out of the ship. They go through several rooms and close multiple doors. Yet when Jason rips through the final door, there's no sudden rush of air, no loss of cabin pressure, even though there would be a continuous path to the broken outer wall of the ship.
(at around 20 mins) Adrienne removes Jason's left eye, which can later be seen again. However as explained at the beginning Jason has the ability to regenerate damaged tissue, which could include the removed eye.
Jason has no VR gear (like Dallas and Azrael's visors and controls), yet he is able to interact with any of the simulations. Like when he is "trapped" in the VR scene of Crystal Lake and 'kills' 2 female campers by beating one up camper in a sleeping bag with the sleeping bag containing the body of the other camper
(at around 1h 6 mins) When Kay-Em is fighting Jason, she both blinks and flinches when shooting, and groans in pain when receiving blows from Jason. These are not android traits. However, since she has already demonstrated her desire to be "real" (she tried to give herself nipples, don't forget),it's reasonable that she would have her programming upgraded to include more human-like traits and reactions.
(at around 22 mins) When all of Rowan's clothes are removed from her frozen body, the outline of a strapless bra can be seen under the metal blanket. It is also seen later when she sits up and the metal blanket slips a little bit.
The goof item below may give away important plot points.
(at around 30 mins) While Jason is killing Adrienne he throws her into a pane of glass too thick for sound or vibrations to pass through. (at around 55 mins) In a later scene, Jason jumps through that same exact glass yet it breaks and shatters way too easily for its previously established thickness.