I know that the ECMA Script specification does not specify which algorithm to use for sorting arrays, nor does it specify whether the sort should be stable.
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If you are looking for a list of browsers where you should utilize a non native sorting algorithm, my suggestion is don't.
Instead do a sort sanity check when the script loads and make your decision from that.
As the spec doesn't require a particular behavior in that regard, it is not immune to later change, even within the same browser line.
You could submit a patch to http://www.browserscope.org/ to include such tests in their suite. But again, feature detection is superior to browser detection.