The "Idaho stop" [1] is the best example I know of, with some studies showing that it's safer than the alternative. It's where cyclists are allowed to treat stop signs as yields (as opposed to coming to a full stop at each one).
Yes I've heard of that through the Paris experiment cited in this article. Although when I talked about it with Parisian friends :
* Cyclists have not heard of it and keep getting insulted daily for behaviors allowed by this experiment
* Motorist had the typical knee-jerk reaction along the lines of "This is crazy! Cyclists are madmen! Actual dangers to pedestrians and to themselves, ..." yadda yadda
Of course I don't assume that every cyclist I talked with is respectful of the actual crossroads where this is enforced so my little biased survey is worth nothing.
But I guess if it's not backed up with proper propaganda this kind of new road rules are doomed to create new tensions between cyclists and motorist.
Or just give cyclists proper protected bike lanes, like there have in the Netherlands. But I kind of have lost hope on the French Government and Community Governments for that.
I'm also interested in more examples like this
[1]: https://en.wikipedia.org/wiki/Idaho_stop#Positions