I was born on 5/5/83.
At a quick glance at Hockey Reference, there are two players younger than me who debuted in 2001-02: Olivier Michaud (9/14/83) and Dan Blackburn (5/20/83).
Blackburn's first game, 10/10/01, was before Michaud's only game on 10/30, so the first NHLer to be younger than me would be Dan Blackburn.
There are several NHLers older than me still active in the league, the oldest being Matt Cullen (who I'm sure has been mentioned upthread.) The active NHLer older than me who is closest to my age is Ilya Kovalchuk, who's about 3 weeks older than I am.