It varies quite a bit. The new story of Destiny 2 introduces fresh elements and plotlines that set it apart from the previous ones.
The new story might be more complex. Previous stories set the foundation, and now they can build on that with more intricate plotlines.
One difference could be the setting. Maybe it's in a different city or has a new type of environment.
It might have new plot elements that the previous stories didn't have.
The new story might have a different setting within the Andromeda galaxy. It could focus on areas that were not explored before.
The 'This War of Mine Third Story' could have a distinct setting. Maybe it's set in a different part of the war - torn city or even a different time period within the war. This would change the resources available and the types of threats the characters face.
It may have new story arcs that the previous version didn't have.
The new story in Hitman 2 might have different settings. Maybe it takes place in new and exotic locations compared to the previous one.
The novel strain of influenza is basically a newly emerged form of the flu virus. It can differ from previous ones in how it spreads, the severity of symptoms, and the effectiveness of existing treatments and vaccines against it.
In the most recent origin story, there's more emphasis on her connection to the gods. Her powers are more clearly defined as gifts from the gods compared to the previous versions. Also, her relationship with her mother Hippolyta seems to be explored in a different light. There are more details about her training as an Amazon, and her motivation to leave Themyscira for the outside world is more nuanced.
It might have more modern values and sensibilities.