Since you comment on statistics provided during sport events, I should point out that this method is not scientifically sound. The reason is that for any given data you will find something that will make this dataset unique or "the first of this kind in recorded history". For a light take on this, refer to this XKCD comic.
What is methodically required is that first the criteria are defined and only then the data are evaluated. Weather services will typically publish things such as
- Ranking average temperature within a calendar month (e.g. this July was the third hottest in recorded history (example is purely fictional)) at a certain location
- Ranking of daily minimum/maximum temperature at some location (e.g. this was the coldest day ever measured)
Details on this will vary from country to country. There is also a wide range of measurement data or derived data for experts to analyze. Also, weather services will engage in studies about the impact of climate change.