(at around 26 mins) After removing Jason's mask, Adrienne puts the scalpel down on the metal table. In the next shot it is in a different position.
(at around 26 mins) As Adrienne is cutting around Jason's mask to remove it, you see her cut through the straps, but when she lifts the mask off the straps are intact.
(at around 1h 2 mins) When Jason is sneaking up behind Crutch, the position of his headphones changes between shots.
When Crutch is in his lab working alone he is wearing over ear speakers, when he turns to check if someone is behind him they are dangling by his neck. The next close up shows they are on his ears again. Then the next behind shot shows him putting them back on his ears.
(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.
When the Solaris station is destroyed, there is silence for a moment and then the characters on the ship can hear and feel the explosion. In the vacuum of space there is no air, therefore no sound or shock-waves.
At about the one-hour mark, the android girl has been turned into a fighting model. Her creator says "I gave her an upload," when it should actually be an "upgrade", as an upload wouldn't change her appearance.
(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.
(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.
(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.
It is inconceivable that a mass murderer of well over 100 victims would be contained in an open area without bars with just one lone guard watching him.
(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 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 22 mins) When Rowen is asking Tsunaron why he said "whoops", she first says "whoops", then she says he said "oops".