In general, digital goods are public goods, because the marginal cost of production is near zero and they're non-rivalrous. We have some artificial obstacles to consumption in the form of IP laws, but the nature of those goods makes them public goods.

Health care is definitely not, as it's both excludable and rivalrous (if you get an organ transplant, then no one else can get it.) That makes it a "normal good".

Public schools may be considered non-rival, if the school is not over capacity, but they are excludable. We have legal policies that artificially make schools more like a public good, but it is possible to exclude someone, so they aren't real public goods. Schools are technically "club goods".