Ministers give you a specific card in the government affairs - Finance gives Budget decisions, Economy gives Welfare, Interior does Interior, Foreign give Foreign Policy, Reichswehr gives Reichswehr decisions (additionally, you can avoid building the cruiser), Labor gives an awful card, and I never picked Justice. I think Finance-Economic-Interior combo is best (although Finance-Interior-Foreign may also be good)
Avoid picking Labor at all costs, it just wastes a deck space.