Did they?
The ones I've seen the most are these:
First: JonBenet was awake when they came home and John read to her before putting her to bed. (
French report)
Then: JonBenet was asleep when they came home and John (and Patsy) put her to bed, then John read a bit before going to sleep. (
1997 John interview)
And
First: JonBenet was put to bed wearing a red turtleneck, not the white top she wore to the Whites and was found dead in. (
French report)
Then: JonBenet was put to bed wearing the white top that she had worn during the day and was found dead in. (
1997 Patsy interview)
Bear in mind, before the interviews, the Ramseys had requested and received their earlier statements given to the police. This was complained about now and then as deference to the Ramseys that would allow them not to contradict their earlier statements.
So why did they?
John even acknowledges it in his interview: "Well, they was a couple of areas where I think there was some misunderstanding or wasn’t correct." The Ramseys are changing the narrative from the French report. For what purpose?
If what they told French was true, they would have no reason to change it. It's true, after all, and they have the transcripts to make sure they remembered correctly.
If what they told French was false, they have no reason to change it either. None of the changes affect the murder - JonBenet gets put to bed at the end of each story, hours before she died. And by sticking to their earlier statement, they prevent any suspicion that they're changing their story.
In fact, that they change - or rather correct - the story here speaks to their truthfulness. If they are guilty, and they had been granted the boon of being able to check what they had told the cops earlier, then why on earth would they not stick with it? But if they are innocent, they would want the actual events and circumstances to be known, even if it might not affect the actual outcome.
So the obvious option here is that French got it wrong. It's not hard to see why when you compare the Ramseys' stories to his account. John said he put JonBenet to bed and then read a bit - French misunderstands it as "read
to her". Patsy talks about the red turtleneck that JonBenet was supposed to wear to the Whites and French misunderstands it as what she wore to bed (and knowing that JonBenet wore the white top to the Whites makes the notion that she was put to bed in the red turtleneck utterly preposterous - putting your child to bed in the top she already wore makes sense, exchanging it for a turtleneck over say a pajama top doesn't).
I've also seen whether Burke was awake as an issue where they changed the story:
FIrst they said Burke was asleep
Then they say he was awake but pretending to be asleep and didn't tell them that at first
This was supposedly as a reaction to the National Enquirer printing the leaked info about the silly EVP phenomena that the police thought were voices at the end of the 911 call. If you think about it for more than five seconds, you realize that the NE is full of it. If they changed the story to explain why Burke was "heard" on the 911 call, why did they still have him in bed, saying nothing? The change would affect exactly nothing, and they would gain nothing from changing it. And how can they possibly be criticized for changing a story when the whole point of it is that Burke was pretending to be asleep - it would be exactly the same story from their perspective. It just adds Burke's as well.
So many of the supposed lies the Ramseys told come down to things like these when I dig deeper. It's not that their words never contradict earlier ones - especially when years begin to pass and memories get fuzzier - but all the big ones just end up being "the Ramseys say this, but this other person claims they said that". And I require a bit more than that.