Which incidents were defined as suspicious just because she was on duty?
All of them. That was the sole criterion that determined whether an incident was shown on the chart produced by the prosecution.
What similar incidents happened that were dismissed as unsuspicious because she wasn’t on duty?
At least 9 other deaths and 26 non-fatal collapses. One of those relates to one of the babies Letby is alleged to have murdered (baby J) but wasn't included because she wasn't on duty. And don't trot out the line that these other deaths and collapses were investigated and found to be natural. It simply isn't true. The deaths currently attributed to Letby were also investigated and found to be natural. It is only when the police got involved and were looking for evidence to charge Letby that these deaths were concluded to be murders. They didn't reinvestigate the others. After all, Letby could not be responsible for them as she wasn't on duty.
Regarding the police investigation, it is important to remember that they weren't presented with a murder with an unknown killer to investigate. They were faced with a group of doctors claiming that there were too many deaths happening and that Letby was responsible. It is clear from the evidence that the police did not look at all the baby deaths to see if murders were being committed and, if so, who was responsible. They looked at the deaths that could credibly be blamed on Letby to see if they could find evidence to suggest she was responsible. Excluding deaths and collapses that happened when Letby was not on duty reflects the approach of the investigation. It doesn't mean those deaths and collapses were investigated and found to be innocent. It means they were considered not to be suspicious because Letby could not be responsible.
The prosecution produced this chart at the start of the trial and claimed that it proved Letby's guilt. This was the central plank of the prosecution case. Unfortunately, the defence did not call a statistician. If they had done so, they would have pointed out that the chart is not statistically valid. All it proves is that, when Letby was on duty, she was on duty. And, given that we now know the chart was inaccurate, it doesn't even prove that.
We also know that Dr Evans has changed his mind on at least one death, although he denies it. He gave evidence on baby C that an X-ray showed Letby had injected air into the baby's stomach, leading to the baby's death. We now know that Letby did not have any contact with baby C prior to this X-ray being taken so, if there was air in the stomach, she was not responsible. Evans still maintains that Letby killed baby C but has changed his mind as to how she did it. It is clear from interviews he has given that Evans will never consider any possible explanation for the deaths other than Letby murdering these babies. That is not the approach that should be taken by an expert witness. Indeed, we knew even before the trial that he does not act neutrally as an expert witness should, which is why another judge wrote to the trial judge warning him that Evans is not a reliable witness.
If you really want to understand, read the Private Eye coverage of the case with an open mind - written by a doctor who initially accepted the guilty verdict but is now convinced that she was wrongly convicted.