Yes, nearly everyone (except a blessed few) gets that reaction from time to time. Some more, some less.
For me, I get it most often with modern florals. Some call it the 'department store smell'. I don't quite get the powdery deodorant note, just the hairspray.
I assume it comes from artificial floral chemicals, as I handle old florals fine. But I don't know which chemicals are responsible. I just know it when I smell it.
Glamorous by Ralph Lauren is one that comes to mind as especially bad, though there's many that are unwearable for me because of it. The few Elizabeth Ardens I tried also reacted on me. I got it also with the Nanadabary Pink. I have a list, but it's much too long
Some fragragrances also have ozone, which is a purposeful fragrance accord that doesn't sit well with many people, but it's a little different smell than the hairspray. A lot of oceanic, fresh air, and water scents have this.