Continuity mistake: When first arriving on Earth the aliens do a clean up of things not needed, one of these being toilets, then in a scene minutes later you see the main alien character brushing his teeth with a toilet brush standing next to a toilet. (00:05:45 - 00:07:00)
Continuity mistake: The central plot of the movie revolves around an e-vite (electronic invitation) that Oh accidentally sends to the entire galaxy. The content of this e-vite, however, mysteriously changes mid-film. Oh initially creates this e-vite in a spur-of-the-moment decision. It's a simple message containing "Fa-da! I have sent directions to my living space", along with a simple textual address. He accidentally presses the "Send All" button instead of "Send", thus transmitting it to the whole galaxy. But later, when Captain Smek orders the content of the message played on screen, it is a highly elaborate, cheery, video invitation addressing the entire galaxy and deliberately revealing the location of planet Earth. This something MEANT for the whole galaxy. It ends with a cheery "Come party!" echo. From this point onward, whenever the transmission signal pulse is shown in the space, instead of repeatedly uttering "Fa-da...", it repeatedly shouts "Come party!" (00:11:53 - 00:45:01)
Continuity mistake: The floating Eiffel Tower's swing axis changes. When it first starts to swing, the swinging axis is perpendicular to that of the tunnel. (It remains that way in the 6 subsequent shots.) After hitting the floating pile of stone statues, its swinging axis has rotated 90° and is now across the tunnel. (00:48:48 - 00:51:29)
Continuity mistake: During the group-hug scene, Oh's staff (a.k.a. "The Shusher") magically disappears. He has it both before and after that scene. (01:11:28 - 01:12:07)
Continuity mistake: The prices change in the cooler that Oh is locked in.
Continuity mistake: In the MO PO store just after taking a swig of oil, Oh continues walking but an entire set of shelves appears behind him.
Suggested correction: No, not exactly. Both Tip and Oh move one aisle to the left. Oh appears exactly where Tip was before and Tip appears on the adjacent aisle.
Continuity mistake: The part when the Gorg will be given the rock. Who had it? It just appears in Lucy's hand.
Suggested correction: I'm afraid there is no mystery there. Oh had it until 1:16:40, at which point he throws it towards Tip. She is in no hurry to collect it, but she does so at 1:17:10. She is last seen having it at 1:17:37. Tip's right hand remains conveniently off the screen until 1:17:57, at which point she is no longer holding the rock. Lucy comes back on the screen at 1:18:12, at which point she is holding the rock in her left hand, beneath the cat.