A quick web search¹ shows these as the only other nations that still hold public executions: Iran, Saudi Arabia, North Korea, Somalia.

Those aren't places whose approach to justice the US should emulate. Civilized governments did away with public execution a century ago²

In fact, one argument I recently have used in support of the war with Iran is that the Islamic Republic still holds public executions.

¹ https://www.worldatlas.com/articles/countries-where-public-e...

² https://en.wikipedia.org/wiki/Public_execution