They're looking to sneak MRNA shit in there too now. No injection can be trusted now.

The (old) influenza vaccine for kids is pretty safe but its effectiveness sucks, needs two doses at initiation and requires boosters every fall.

Diphtheria and Haemophilus influenzae Type B shots are also pretty useful.

There's not really many shots on here that are particularly suspect, though I can see parents balking at the volume.

The least needed are probably things like the oral Rotavirus vaccine (literally the stomach flu) and Hepatitis B (which doesn't really exist in the wild anymore due to mass vaccination).