When the State licenses things like that, it’s usually because whatever activity is being licensed utilizes shared resources, and the State has an interest in making sure those resources are used in the common interest.

Radio licenses are essential because the RF spectrum is a common resource. The State wants to make sure that certain frequencies are only used for certain purposes, and that those who use them have the proper training.

Some communities use pet licensing as a tool to make sure all pets are properly vaccinated, to reduce the spread of rabies (which really is a horrible way to go…)

Hunting and fish licenses are a way to help control the overall wild animal population, and make sure they are not overharvested and preserve rhe availability for future seasons.