Scramble intersections can fix this. Let all pedestrians in every direction go first, then coordinate cars, then back to pedestrians.
https://en.wikipedia.org/wiki/Pedestrian_scramble
And I thought 2nd paragraph from Wikipedia offers an interesting insight on cultural priorities:
> It was first used in Canada and the United States in the late 1940s, but it later fell out of favor with traffic engineers there, as it was seen as prioritizing flow of pedestrians over flow of car traffic. Its benefits for pedestrian amenity and safety have led to new examples being installed in many countries in recent years