24th Century Episodes Out of Chronological Order

[Idran]

You didn't claim a summer rollover in your original post, you claimed a rollover specifically associated to the start of the television season "as the summer ends and kids return to their TV sets". That specifically is what I was arguing against in that post, I agree that the data from the show alone ends up suggestive of a rollover disparate from a January 1st rollover in a general sense. When I said "it still has nothing to do with TV schedules as you suggested", I was specifically referring to your description of an early-fall rollover.

 

[DarrenTR1970]

One episode that comes to mind is DS9 'The Assignment'. We're told in an earlier DS9 episode, 'Whispers', that O'Brien's birthday is in September. Okay not a problem.
Then along comes 'The Assignment' which starts on O'Brien's birthday, yet if you look at when it aired and its placement according to VOTI/Memory Beta, it falls somewhere in March/April, which is 6-7 months too early.
Also the episode 'Dax' is another example. It's the eighth episode of the first season and is set between 'Q-Less' and 'The Passenger'.
While 'The Passenger' doesn't have a Stardate, the Stardate for 'Q-Less' is 46531.2, which is somewhere in mid-July and 'Dax's' Stardate is 46910.1, which places that episode towards the end of November.
And both 'The Passenger' and 'Dax' have the O'Brien's on Earth visiting Keiko's mother. So unless they went to Earth twice those two episodes need to be together.
Looking back through my notes it appears that there are quite a few DS9 episodes that are out of chronological order.

 

[suarezguy]

Agreed with the comments about "Juggernaut" and "Drive".
The episode "Nothing Human" makes more sense occurring after "Latent Image" (again ignoring Paris's rank change) since in the former Janeway entrusts the Doctor to make a difficult and significant ethical decision and in the latter she initially has little respect for his sentience and thinks he'll probably crack up if faced with a dilemma.
"Dark Frontier" has dialogue that Seven joined the crew two years ago even though the stardate and airtimes are about a year and a half.
It's probably better to flip "The Mind's Eye" and "In Theory" so Geordi doesn't seem back to normal just one episode after being brainwashed (he doesn't appear much in "Redemption" and then there's the months between the seasons).

 

[Idran]

"Dark Frontier" has dialogue that Seven joined the crew two years ago even though the stardate and airtimes are about a year and a half.

That honestly might just be conversationalism, rounding and all. If I was talking about something that happened in, say, June or July 2014 I might still say it happened two years ago.

Edit: Whoops, nope, Janeway actually says "over two years since you came face to face with the collective" at one point in addition to Seven's line, so that can't be it. Plus I guess Seven wouldn't be someone likely to round anyway.

 

[Drone]

Not exactly in line with the OP, as really a dialogue goof, but Janeway telling Kes at the end of Fury, that she made her first return to Voyager three years earlier, when it was really six. It's been mentioned often, but always strikes me as such an obvious error.