The website Delish.com put together a guide where you can see what candy was born the same year as you. Unfortunately, they don't have something for every year, but here's a bunch that came out in the 80s and 90s.
Big League Chew (1980)
Skittles (1981)
Nerds (1983)
Sour Patch Kids (1985)
Air Heads (1986)
Push Pops (1986)
Hershey's Cookies 'n' Creme (1993)
Starburst Jellybeans (1995)
Baby Bottle Pops (1998)
Jolly Rancher Lollipops (1999)
The complete list goes all the way back to the 40s and has plenty of candy selections from the 2000's. Read the complete list on Delish.com