#1 Between the students in the class which is the best?
#2 The U.N.O. insists on better understanding between the countries of the world.
I would use among here, but it is wrong. I asked a question related to this here some time ago. I was answered that if there are more, and each is identifiable, 'between' is also used (with example He divided his winnings among his friends).
But the question is #1 and #2 I don't think each student and each country is identifiable here. Or I am understanding it in wrong way.
Top answer
among the countries of the world.
— Englishmaven
among the countries of the world.
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