These aren't false cognates though, they're actual cognates. Cognates can have different meanings. You might be thinking of 'false friends'.

My absolute favorite false cognate is 'arraigned' (English) vs. 'araignée' (French).

Arraignments would be far more nervewracking if they significantly involved spiders.

I like vonet and pachnout

Interestingly, the Chernobyl liquidators forced to clean the roof were referred to as robots. I think the TV series expanded that to "bio robots", but books about the incident from tbe nineties simply used robot.