Continuity mistake: Just before Ezri's first appearance (at Sisko's on Earth), notice the strap for the bag slung across Benjamin's father's shoulder. First it is twisted on his shoulder, then flat, then twisted, then flat again.
It's Only a Paper Moon - S7-E10
Continuity mistake: When every senior staff officer is in the conference room, watch Dax's rank pips. They change places from a shot to another, going (mentioning from left to right on her collar) from black-gold to gold-black and coming back to black-gold. (00:16:25)
Visible crew/equipment: After Joran supposes that he'll have to make himself more endearing, he suggests to Ezri that she visit the two victims' quarters to find answers. At the start of the next shot, the reflection of the boom operator holding up the boom pole is visible on the glass of the framed photo. (00:29:45)
Continuity mistake: As the episode begins, Ilario was referred to as an Ensign by Bashir and Dax. When he was found murdered the next morning, Odo referred to him as Lieutenant Ilario.
Suggested correction: Bashir refers to him as Lieutenant Junior Grade while making his toast. Ilario's rank insignia are that of a Lt (JG).
When Dax and Kira talk about getting him back to his quarters, Dax says it's not the fist time she's escorted a drunk Ensign home.
Continuity mistake: Throughout this episode you will notice that Ezri Dax's pips change. One moment she has two full pips on her collar and at other times, only one is filled in while the other remains black.
'Til Death Do Us Part (2) - S7-E18
Continuity mistake: When the Breen fling Dax into the cell after interrogating her, she (the stunt woman) lands front-down, facing her left side, with her left knee raised. (To clarify her body position, if she were vertical, it would appear her left foot was resting on the seat of a chair) The camera angle changes instantly so that we see Worf rush to her side as he kneels on one knee. But that knee is on the ground exactly where Dax's knee should still be. But it isn't, because both her legs are suddenly straight. (00:32:40)
Strange Bedfellows (3) - S7-E19
Continuity mistake: When Dukat pours wine (in close-up) for himself and Adami, the glasses each contain very different amounts of wine as he puts the bottle down. But in the wider shot, he hands Adami her glass while holding his own, and both appear to have the same amount of wine. (00:16:30)
Other mistake: Sloan arrived at the station to destroy the cure, and he and Bashir discuss the fact Sloan has to know what it is to be able to find it in Bashir's lab to be able to get rid of it. Sloan counters he could destroy the whole lab, and Bashir dismisses this as not subtle enough for Sloan. Obviously they've both forgotten that Bashir has perfect memory, so he'd need to be killed to get rid of the cure as well, not just destroy the lab. Something which Bashir would have brought up to back his point up, or Sloan could have used to defend his idea, destroying the lab with Bashir inside, getting rid of both.
Suggested correction: Sloan certainly knew what he was looking for. Bashir found the cure in Sloan's mind.
Suggested correction: It doesn't matter that he may have had to kill Bashir, the point still stands. Sloan didn't know what he was looking for, and he would rather not destroy everything. If he had to kill Bashir, he would at least wait until he was certain any existing samples of a cure and any remaining research towards it had been destroyed. At this point in the conversation, it is completely irrelevant.
Suggested correction: The issue here is that Bashir doesn't have the cure. He lured Sloan to the station to find the cure. Killing Bashir does nothing as he doesn't have the cure.
What You Leave Behind (1) - S7-E25
Visible crew/equipment: In the scene with Ezri and Bashir in bed together, Ezri appears to be nude. However, when the camera pans over them, you can see tape over her chest and her spots abruptly end. (00:00:35)
What You Leave Behind (2) - S7-E26
Continuity mistake: After Dukat kills Adami, he clutches a large book to his chest with his right arm. Sisko charges at Dukat, who, still clutching the book, turns to face Sisko. When the camera angle changes to show Dukat from behind, he is holding no book - and he wraps his right arm around Sisko as they fall off the cliff. The following overhead shot shows that Dukat still clutches the book (not Sisko) as the two fall into the fire. (The Region 1 'Season 7' DVD set includes this two-parter as a single, longer episode and my timecode is based on this fact). (01:13:45)