Many counties and cities in Virginia have partisan elections for their own officers. Yet Virginia law says party labels for those partisan elections cannot appear on general election ballots. On April 8, Governor Terry McAuliffe, a Democrat, vetoed SB 767, a bill that would have put party labels on the November ballot for those offices. See this story.
It is rare in the United States for governments to hold partisan primaries, or provide for party nominating conventions, for certain offices, but keep the party labels off the November ballot. Besides local elections in Virginia, other examples are judicial elections in Michigan and Ohio.
Legislative bodies — partisan parties for 3,000 plus years.
Executive/Judicial — NONPARTISAN.
The USA is almost in Civil WAR II due to robot party hack Presidents, Governors, etc.