Edited to add that I would use it but I'm no expert by any means and nowhere close. As long as it's kept in a cool dark and dry location for storage, I would use it on myself.
I went and looked at mine...Yeah, I'm gonna use the neosporin I have.
Neosporin cream expired 2010.
Generic triple AB ointment doesn't have an expiry, at least not one that I can read.
I have used both on myself with no apparent repercussions.