All this talk of smoke detectors in kitchens reminded me of something I saw in the US: an automatic retrofit fire extinguisher for domestic use.
Two small tins are stuck to the bottom of the extractor hood with magnets. Something that looks like the fuse of a firecracker sticks out the bottom of each. A grease fire lights the fuse, and this causes a load of extinguishing powder (baking soda?) to be dumped. Cost is ~45 US dollars a pair...
While it is not a cure-all (for instance, it's "not for gas ranges"), it is a simple solution, cheap, a false alarm not more damage that a considerable mess, and overall something I would like to have thought up myself.
Thomas Prufer