I think they were more driven by biological evolution than by climate change, though. At least some of them (Cambrian, maybe also Dinosaurs).
Humans are actually very adaptable to all sorts of climates. They've lived in the arctic and in the Saharah.
Also, mass extinction events OK, but we are talking about a runaway effect of heating up the atmosphere, turning it into a Venus like planet. That doesn't seem to have happened before.