I noticed on another forum (by a different hosting company) that they have birthday's listed for that day. Is there anything like this on Eve?

Guess not...?

There's no official birthday feature in eve, but I know that another user has created a content-island-like modification:

http://support.evecommunity.com/eve/forums/a/tpc/f/2311...10910863#60710910863

That post was from a year ago, but the link to his site appears to still work.