Following WW2, a bunch of international bodies and vehicles emerge to recalibrate the world. The United Nations, IMF, the World Bank, Security Council, WHO and dollar as the world reserve currency.  

What would emerge after corona?

I doubt peace and harmony would prevail. The evidence is the major economic crises post WW2.

OPEC oil price shock (1973).

Asian financial crisis (1997).

Dot-com bubble (2000-2002)

Subprime mortgage crisis(2008)

Corona crisis- Global economic collapse(2020).

Since we live in a globalized world, will there be a new global momentary system, a global health system or a new immigration system,etc or all of them? 

Wait and see is the only strategy. 

Bear in mind, crises and wars are not born and do not happen naturally. They are created. Guess who told me that! The best teacher ever, History.