Continuity mistake: When Safin holds the baby while walking in the garden, right after Madeleine leaves, the baby's head and/or body position is not continuous between shots. (02:00:25)
Plot hole: At the end of Spectre, Blofeld loses his eye in the crash. In No Time To Die, he is being held in Belmarsh Prison, which is a high-security facility and houses many terrorists like him. However, despite the stringent security measures, he somehow has access to a bionic eye, which was provided to him during his imprisonment. This would have been thoroughly checked multiple times to ensure its safety before being granted to him.
Suggested correction: Blofeld loses the eye in an explosion earlier in Spectre, before he went to London. He likely already had the eye with him when he was captured after the crash.
In the UK there are several TV shows about police and prison corruption. It isn't much of a stretch to imagine that one of the guards was bribed and smuggled the eye in for him. Blofeld is a criminal mastermind - he would have many resources at his disposal despite capture.
Other mistake: On the prison computer scan of Ernst Stavro Blofeld, Blofeld's date of birth is shown as 4th July 1946, but he is only meant to be a few years older than James Bond, as seen in the photo of them together as teenagers in the film Spectre. That photo is meant to be circa 1985, and the newspaper clipping (also shown in Spectre) about Franz Oberhauser's (aka Blofeld) death in the avalanche happened when he was 16 years old. If he was 16 in 1985, then he should have been born in 1969, not 1946.
Continuity mistake: When Logan, Felix and Bond walk down the market at night, the passers-by are not continuous between the front and back shots.
Continuity mistake: When Madeleine's mum falls asleep her hand lies parallel to her legs. A shot later it's perpendicular, over her tummy.
Continuity mistake: When Bond greets Felix for the first time, Felix's glasses disappear in the side shots only to reappear in the front shots.
Continuity mistake: Young Madeleine sits next to her mum who asks her if she wants to play a game. A shot later Madeleine is sitting much closer to her.
Continuity mistake: When Madeleine lies on top of Bond at the hotel in Italy, her right-hand swaps between being around his ear or behind his head.
Factual error: During Bond's fight in the stairwell at the lab/missile site, several soldiers use RGD-5 hand grenades against him. One explodes next to him while between a steel door and concrete stair. The RGD-5 is lethal at 3 meters and causes injury at 25 meters. Even if shielded, Bond would be severely injured by the blast damage.