I'm a huge Beatles fan and I live in Indonesia, I've been waiting The Beatles game for a long time. When I came to the video game store on September 9th, the guy said that Beatles Rock Band hasn't been released yet.
Does the game have a different release date for Asia? If so, when?

Well, it was supposed to be a "worldwide" Sept. 9th release. I haven't read anything about other release dates, so I think either you have it now or you're not getting it.  
 
However, aren't RB1 and RB2 not even out in Asia? I think I remember someone complaining about that awhile back, so maybe this could be a similar situation. 

Actually both Rock Band games are now available in Asia

bump

According to the official website for the game it is out worldwide, and doesn't say anything about other international release dates. It also gives links to where you can purchase it.  
 
You could probably try calling local game shops or going to whatever websites you would normally buy games at to see if they have it in stock.