I have no idea what this bush is called, but for three or so weeks out of the year it smells fantastic. Very sweet smelling.
Privets do look visually similar. Our plant is probably related, but I'm not sure if it's a privet proper. I've never seen berries and the leaves are a bit smaller. Evidently privets can be invasive. Ours is certainly hardy, but I've never seen it trying to spread in the 10 years we've lived here.