Apples, Oranges etc once again. Of course NATO is a completely different kind of organization from the EU.
The Catholic Church has more members than NATO, too, but it's a completely nonsensical comparison.
The EU doesn't have some mythical status that doesn't apply to any other organization, it just has a very specific status in political science that it's the most successful example of: Supranationalism.
Anyways, why are we doing this silly phallus size competition in the first place? Can't we just accept that the EU is a major player on the world stage and that people look up to it?