There is no federal inspection sticker. New York generally wants an annual safety inspection. Texas ties a safety inspection to registration in many counties. California is built around smog in participating areas, often every two years. Florida has no periodic safety inspection for a private passenger car.
Emissions are not always safety
A smog check and a safety inspection can fall on different years. New cars are often exempt for the first few model years. Commercial vehicles and older cars can sit on a tighter cycle.
Do not treat this as a legal determination
County rules and exemptions move. Confirm with your DMV. The inspection due date calculator uses a typical passenger-car interval so you can set a reminder. CarDiary does not call a state API.