Other mistake: Dax says that T'Lor (the blue-shirted alien) had the away team's only medkit, but when he was shot and killed, T'Lor only had a phaser rifle on him.
Suggested correction: Just as T'Lor is shot and falls off the runabout you can see the med kit hanging from his right shoulder on a strap.
Visible crew/equipment: After the infant Changeling gives Odo the bittersweet gift, Odo exits the infirmary and shapeshifts into the Tarkalean Hawk. As Odo soars through the Promenade's top level, we can see a director's chair beside the spiral staircase, down below. (00:41:15)
Emissary (2) - S1-E2
Revealing mistake: During the chaos on the Promenade as the Cardassians attack, a man can be seen landing on a steel girder that bends like rubber or foam when he makes contact.
Character mistake: At the end, Sisko blames the deaths of the runabout crew (Hoya, Rooney and Bertram) on himself and the Vorta not trusting each other. However, the runabout was destroyed before any negotiations had taken place, and even before any Jem'Hadar or Vorta had landed on the planet, so their deaths were largely unavoidable. Even the later deaths of T'Lor and Muniz were caused by the first firefight, again, before any negotiations had happened.
Suggested correction: Alternatively, Sisko could also be referring to the general mistrust that exists between Starfleet and the Dominion, which is constantly threatening to boil over into full scale war. Without that prejudicial mistrust and paranoia, The Jem'Hadar would have likely never killed Muniz or attacked the runabout. Indeed, it can be said both sides inability to negotiate throughout the episode is due to their mutual belief that the other side cannot be trusted under any circumstances.
Character mistake: In the scene where Lwaxana Troi follows Odo into the Turbo lift and it breaks down, Odo reports to Ops that they are in Turbo lift 7. Later scenes in Ops refer to their location as Turbo lift 4.
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.
The Way of the Warrior (2) - S4-E2
Revealing mistake: During the fight in Ops, the laws of physics takes a slight dive. While Worf is fighting the Klingons, he hits them with his Bat'leth or his mek'leth, and a second later they react to the hit.
The Way of the Warrior (1) - S4-E1
Character mistake: At this point in time, the Khitomer Conference (where the Federation and Klingons resolved their conflict) was at least 70 years ago, yet Bashir refers to their peace with the Klingons as having lasted two decades.
Plot hole: Just after the Kelleran soldiers kill all the scientists, O'Brien tries to contact the runabout Ganges for a beam out. Unable to contact the Ganges, he and Bashir use the T'Lani cruiser's transporter to beam down to T'Lani III. He could have used the cruiser's transporters to beam to the Ganges instead (it wouldn't have had its shields up as it was unoccupied and was closer to the cruiser than the planet) allowing them to escape back to the wormhole and DS9, instead of having to await rescue on the planet.
Second Sight - S2-E9
Character mistake: When Nedelle collapses, everyone looks to Jadzia to save her and she says she can't. Why do they think Jadzia can save her? She isn't a doctor, and the Dax symbiant was never a doctor either. They are on board a Federation ship, with a Federation crew, why do they not call The Ship's doctor?
Factual error: As is typical for Star Trek maps of the world, New Zealand is missing from Dr. Noah's map of the world before anything is flooded. The Australian state of Tasmania is missing as well. (00:40:45)
Factual error: When Major Kira was introducing Lieutenant Commanders Dax and Worf to the arriving Trill scientists, she introduces them as Commander Dax and Worf. While in informal conversation, they could be addressed as Commander, when making formal introductions, the person making the introductions would use their full proper rank. This is an error that no ranking officer would make, especially not twice. (00:03:10)
Suggested correction: And when was this established? If you are basing this error on modern American military protocols, there is no reason Starfleet in the 24th century would follow the same rules and traditions.
Yes, although it's not just American military introductions, it's pretty standard in most militaries to use full rank when making formal introductions, which has been followed for the most part by the writers, with other introductions that have happened onscreen.
A Simple Investigation - S5-E17
Visible crew/equipment: In the cargo bay, Odo shares with Kira the embarrassing "bedroom eyes" comment he had received from Arissa, and when Kira asks, "Are you going to see her again?," we can see the reflection of the camera operator, who is standing directly behind Odo. (00:08:05)
Continuity mistake: In sickbay, when Nog walks over to Collins, he takes her hand and returns his gold Red Squad pin. In the closeup, Collins has a long, manicured thumbnail, but in the next shots facing Nog, Collins has short fingernails. (00:43:15)
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)
Visible crew/equipment: At the start, during the briefing in the wardroom, everyone walks over to the table. And just as Sisko finishes saying, "The Seventh Fleet will be engaging the enemy in the morning," a white tape mark becomes visible on the floor at the actor's feet. (00:00:20)
In the Pale Moonlight - S6-E19
Visible crew/equipment: After Jadzia plays devil's advocate with Sisko, he tells her she would've made a decent Romulan. Then, when Sisko passes the camera as he walks around his desk, the blue T-mark is visible on the floor behind Jadzia. (00:06:10)
The Way of the Warrior (1) - S4-E1
Visible crew/equipment: At the start, after the Changeling surprise drill's staff is dismissed, while Sisko and Nerys are walking away, when she asks, "How about some dinner?" at the bottom left side of the screen, there are multiple T-marks visible on the floor behind her, ending with a pink T-mark as Sisko exits. (00:02:30)
Visible crew/equipment: After Odo orders two glasses of champagne for Dr. Mora and himself, when it cuts to the birthing ceremony as Y'Pora walks towards Nerys, there are three T-marks (one blue and two green) taped to the floor, at the bottom right corner of the screen. (00:33:10)
Visible crew/equipment: When Jadzia walks into Kor's quarters and finds Kor on the floor, just as she helps Kor stand up, there's a visible T-mark taped to the floor beside the chair. (00:08:35)
