With regards to my vote for Education and Transportation:
Private education works, often on par or better than Public education systems, but it should by no means be exclusive. Everyone deserves at least a enough education to be a productive citizen.
Transportation is another one split for me, Public Transit within cities or largely traveled routes should be 50/50, just for the sake of those who want to either travel cheap or those who want to travel fast/fancy. Larger scale transportation like planes, some train lines, long distance busing, etc. should be private because these industries are, most importantly, not necessities or rights (You don't have the right to affordable interstate travel ) and secondly it's one less large industry that the government would have to create a bureaucracy for.