Factual error: In the scene where Harry and Hermione are dancing in the tent, a radio is on. The song played is "O Children" by Nick Cave & The Bad Seeds, which was released in 2004. However, Harry Potter and the Deathly Hallows takes place in 1997-1998, considering that later in the film the graves of Lily and James Potter give their death year as 1981. As Harry was one year old when his parents died, this means that he was born in 1980, and thus the film itself must, like the book, take place in 1997, when Harry is seventeen. This makes it impossible for "O Children" to have been on the radio at the time.
Continuity mistake: When Harry dives through the hole in the icy lake, water floods over the edge of the hole, and flows over a large part of the ice, dampening the snow on the ice. When it cuts to Ron pulling Harry out of the hole, the wet snow around the hole has decreased by several feet, only surrounding a small part of the hole itself.
Continuity mistake: Luna's dad pulls Harry aside at Bill and Fleur's wedding to tell him that he fully supported Dumbledore and now supports Harry. He's wearing a silver pendant in the shape of the Deathly Hallows symbol. In the close-up of the jewelry, it is over his yellow vest. In the consecutive medium shot, it is partly under the same vest. (00:33:00)
Revealing mistake: When Harry walks across the frozen pond, both in his shoes and when he is barefoot, there are no footprints left on the ice. The pond is covered with a light snow, that Harry brushes away to see the Sword of Gryffindor beneath the frozen surface. The snow would show any tracks.
Continuity mistake: When Ginny asks Harry to zip her up, she has a hairlock on her left side that changes from hanging over her left shoulder or behind her shoulder, depending of the shot. (00:26:40)
Continuity mistake: In the first shot of Harry, Ron, and Hermione at the café after escaping the wedding, Harry asks if they should go back. Then the waitress walks past the camera. When it cuts, the waitress walks past the same spot again.
Continuity mistake: When Hermione removes her parents' memories at the start of the film, she points her wand at them and says "Obliviate", turning her wand hand so that her palm faces inwards/upwards. In the very next shot, however, her palm is facing outwards/downwards, with no time to change in between. (00:02:20)
Continuity mistake: When Hermione and Harry are sitting on the rocks by the cliff, Hermione is putting down a closed book. When the camera angle switches to seeing Hermione from behind, it appears the wind has blown the book open, but when the camera switches back to a front view, the book is closed again. One final switch, and the book is open yet again, flapping in the wind. (01:23:15)
Continuity mistake: When Hermione picks up the "Albus Dumbledore" book in Bathilda's house, she picks it up with her left hand, while her right hand is holding her wand only. When it cuts she is holding the book with both hands.
Continuity mistake: When Harry holds the mysterious locket up in front of Kreacher, the chains are together from Harry's POV and separated from Kreacher's.
Continuity mistake: When Harry is talking to Elphias Doge at the wedding, as Elphias says, "Well, Dumbledore was always very private, even as a boy", he is holding his drink in his hand on the table, but in the next shot, he is no longer touching it. (00:32:25)
Continuity mistake: When Mundungus arrives at the house with Kreacher and Dobby all over him, the pot, glassware, wire basket, bottle, etc. on the counter beside the sink disappear, reappear and/or change entirely in the close-up and following shots.
Continuity mistake: When Harry is holding his wand over the icy lake, the light is reflected on the surface. When it cuts to a closeup the reflection is all gone.
Continuity mistake: When Harry, Hermione and Ron confront Mundungus about the locket, he sits down in the corner chair and the side table is beside the chair, with the mess of Daily Prophets on the floor in front of the table. However, in the following shots the table is 3-4 feet away from the chair, against the wall, with one Daily Prophet between it and the chair.
Continuity mistake: In the diner, when both Hermione and Ron aim their wands at Dolohov, the boxes of Amaretti cookies explode off the shelf behind him. However, in the following shot one Amaretti box (facing the wall) is still on the shelf, then vanishes and reappears once again.
Continuity mistake: In the scene in the Cappuccino Cafe, Hermione performs "Petrificus Totalus" on a Death Eater and Ron talks about killing him. Harry says, "It's best we wipe their memories." As he says that, he is looking down at the Death Eater. In the very next shot, his head has slightly moved and he is looking straight at Ron.
Continuity mistake: On the beach when Harry is holding Dobby, and Dobby says "Dobby is happy to be with his friend", Harry is holding Dobby by his shoulder. In the next shot Harry is holding Dobby by his neck.
Continuity mistake: When the Dursleys are leaving, we see Harry standing in front of the house, quite a distance from the front door. When it cuts Harry has moved much closer to the front door. (00:02:50)
Continuity mistake: When Ron, Harry, and Hermione are sleeping at HQ, the camera shows Hermione and Ron sleeping on the couches, laying opposite ways, with their hands almost touching. The next shot is of Harry waking up, and now Ron is sleeping on the floor and Harry is on the couch.
Continuity mistake: When Harry sees into Voldemort's mind when he is Gregorovitch's wand shop, the wand Voldemort uses is the Elder wand, however Voldemort has not got the Elder wand yet. (01:07:54)
Suggested correction: Voldemort is not carrying the Elder wand, but his own wand. You see glimpses of the Elder Wand in the hands of a young Grindelwald though, perhaps you are confusing the scenes.