Revealing mistake: While Poe leads the aerial assault on the oscillator, in the closeups of Poe and other X-wing fighter pilots, note the cockpit windows at the pilots' left and right have identical marks and scratches in their individual X-wings. It's particularly noticeable when one closeup follows another.
Continuity mistake: After Rey touches Luke's lightsaber she begins to have the vision, and when she falls to the floor the blaster is missing from the back of her belt, but after she "sees" Luke and R2 and then stands up the blaster is back again, tucked into her belt. (Even though Rey's having her vision of things all around her, she herself is not a vision).
Continuity mistake: After Rey's lightsaber battle with Kylo Ren, when the Falcon appears in the wideshot Rey's head is turned to look at the Falcon behind her, to her left, with Finn to her right, but in Rey's two closeups - before and after that wideshot, she's looking straight ahead at the Falcon, with Finn lying directly in front of her. (01:58:50)
Continuity mistake: After Leia tells Han that she always hated watching him leave and he still drives her crazy, they hug and it cuts to the Starkiller Base. When we see Stormtroopers walking through the corridor and then Rey sneaking away, it's a flipped shot - note the Stormtroopers' backs, and Rey's hip bag and leather wrist cuff. (01:35:15)
Continuity mistake: When Rey wakes up restrained as Kylo Ren's "guest" at Starkiller Base, Kylo Ren's mask has distinctive surface markings and a hole, but when he removes his mask and sets it down in the closeup it's a flipped shot - the marks and hole have switched sides. (01:25:50 - 01:26:25)
Continuity mistake: After Rey finishes her meal beside the foot of the AT-AT and puts on the Rebel flight helmet, there's an overhead wide shot of the toppled AT-AT and we can see its front knee joint. When Rey hears the commotion with BB-8 she rushes to get her staff, which is now tall and upright in the sand at that knee joint, and had her staff been there in the wide shot we would have seen it. (00:14:45)
Continuity mistake: When Snoke orders, "If what you say about this girl is true, bring her to me," Kylo Ren is wearing his hooded cape. It cuts to Rey restrained in the holding cell, and when it cuts back to Kylo Ren rushing to the holding cell to get Rey and bring her to Snoke his cape is gone. After Rey uses the Force to trick the guard, it cuts back to Kylo Ren arriving at the cell and he's once again wearing his hooded cape. (01:30:40 - 01:31:20)
Continuity mistake: While Finn, Rey, and BB-8 are hiding in the maintenance bay to unfix the poisonous gas, when Finn lifts the floor's slotted deck plate and pokes his head out there are specific grooves at the edge on top of the plate, but no grooves underneath at the edge. The problem occurs when Chewie lifts the deck plate, and those grooves should be on the side facing him (the top side), but instead they're facing out. Then when Han tells Finn "that thing" can understand him, the grooves are gone - the top side of the deck plate is properly facing out. (00:40:05)
Revealing mistake: After Poe's X-Wing is destroyed, when BB-8 leaves the village and rolls off note all the distinctive hills and sand dunes in front of BB-8. Later, when Rey hears BB-8 with Teedo and she rushes off note the sand dunes in front of her, but after she rescues BB-8 and walks in the opposite direction those same sand dunes are now in front of them, which were also the same sand dunes in front of BB-8 when he left the village the night before.
Continuity mistake: When Kylo Ren interrogates Rey, he removes his helmet and sets it down on a table of ashes. This table is not present in any of the wider shots of the interrogation room. [Director JJ Abrams has stated that the closeup of the ashes (the ashes of his victims, apparently) was actually from an earlier scene taking place in Kylo Ren's quarters on the star destroyer, which explains why the table is not visible in the Starkiller Base interrogation room. Still a mistake but there's the reason.] (01:26:25)
Continuity mistake: After the First Order has destroyed the Hosnian system, including Hosnian Prime, Finn rushes up to Han and asks him where Rey is, and when it cuts to the shot of Rey running in the forest it's a flipped shot - note the leather cuff is on Rey's right wrist, etc., then in the next shot the cuff is on her left wrist as it should be. (01:11:05)
Continuity mistake: During Rey's lightsaber duel with Kylo Ren, a few shots after Rey does the flip and slices the tree branch, there's a long shot of them in the forest as they're both moving past very distinctive fallen trees around them, and after a few closeups as Kylo keeps advancing on Rey, at the start of the next long shot (right before the chasm first appears behind Rey) they're back to being where they were in the previous long shot. (01:55:50)
Continuity mistake: When Rey reaches the top of the ridge and shouts at Teedo, we see there are no footprints in the sand between her and Teedo, so when Rey rushes to BB-8 her lone set of footprints are the only ones behind her in the sand. When Rey walks away from BB-8 telling him "No," there are many more footprints in the sand between her and the droid, even though there should only be the two sets of Rey's footprints - from both coming and going. (00:15:10 - 00:16:05)
Continuity mistake: When Rey returns to her home in the AT-AT she scratches another mark into the wall, and in the next closeup just as she sits down the top part of Rey's outfit is crisscrossed with her left side over the right and her hip bag is at her left side, but after Rey fills her plate and takes her food, she stands up and her top is crisscrossed the opposite way, etc. The first shot is flipped - note the background, compared to the second shot. (00:13:55)
Continuity mistake: After the TIE fighter crashes on Jakku, when Finn searches for Poe in the wreckage he finds Poe's jacket and grabs hold of the jacket arm, but when it cuts to the following shots as the ground starts shaking, Finn's holding the top (neck area) of the jacket, even though it never left his hand. (00:24:35)
Continuity mistake: After the Quad Jumper blows up, when Rey, Finn, and BB-8 run to the "garbage" they're running quickly toward the Falcon's forward side - note the cockpit, with its entry ramp lowered and nothing blocking its way, but in the next closeup they're all running from the rear of the Falcon before they rush up its entry ramp. (00:31:45)
Continuity mistake: After BB-8 tells Rey that the Resistance base is located in the Illenium system, while Rey is down in the hold she asks Finn for something she needs and she holds her right arm up and points, but in the shot facing Finn it's her left arm that's up pointing as she repeatedly shouts "NO!" to him, and then it's her right arm up again. (00:38:40)