Wolfy777: I registered on the 28th of May and I was honestly perfectly content to wait for the invitation until New Year's. :)
However, I got my invite yesterday, so October 3rd.
For the sake of statistics, the wait time was 153 days long, unless I miscalculated it.
Sure it took a while, but I a got a more developed version with the ability to add games semi-manually (it still relies on the search function, so I can't add games completely manually and some obscure games aren't on Galaxy 2's radar yet, e.g. Fire Ash a Pokemon fangame made with RPG Maker) and plenty of other features. :D
I understand that the wait is agonizing for some, but look at it this way: the longer you wait the more developed and fixed version you'll get and with it less bugs. :)
May 24th here. Still no invite.
Sad Panda.