That shows one event, not a record of them. Temperature changed dramatically in the 20000 to 12000 year timeperiod on this graph.
1) The temperature change from 20000 to 12000 is much less rapid than the change from 1850 to 2000.
2) How can you have a 1960-1990 baseline when 1990 was warmer than 1960 by about half a degree C?
https://www.ncdc.noaa.gov/paleo/globalwarming/images/temp-anom-larg.jpg
https://www.scientificamerican.com/article.cfm?id=mass-extinctions-tied-to-past-climate-changes
https://en.wikipedia.org/wiki/Extinction_event
Climate (warming or cooling) is is a primary suspect in four of the six largest events, and extinction events are measured over hundreds of thousands of years, usually.
Do we have a list of the species that died out over that timeframe as a mass extinction, as that rise in temperature was far more dramatic than any time period since, I would expect there to have been mass extinctions over that time period.
We are living in a period of mass extinction.
https://en.wikipedia.org/wiki/Quaternary_extinction_event