The re-released game with all previous DLC included, sometimes known as "GotY Edition" or simply "Platinum Hits," "Greatest Hits," etc. is now relatively common. Nowadays, it is not only on PC, where re-releases and compilations have been common for much longer than that, but also on consoles. 
 
When looking at discussion (particularly at CAG) for big RPG-ish games that have numerous DLC releases planned, such as Borderlands, Dragon Age, and Mass Effect 2, there are a few people predicting (or sometimes outright stating) that there will be a GotY Edition with all of the previous DLC, and they will wait until that edition releases to buy the game. In the case of Dragon Age and ME2, I went ahead and bought the game anyway. 
 
With Borderlands, I hesitated -- and continue to hesitate -- despite the complete lack of official news on any re-release edition.  Now Amazon is offering Borderlands and the first two DLC for $40, and if Gearbox only releases one more expansion at $10, then I could get Borderlands and all its DLC now, for effectively the same price as a $60 DLC Edition.
On the one hand, sales are bound to slow, and companies will see an opportunity to possibly get sales from penny-pinching consumers who have previously been afraid to take the plunge and buy their game. On the other hand, not every company is Bethesda or Blizzard; not every company is so quick to compile their games and expansions at an improved value.
 
What do you think? Will we see "GotY Edition" re-releases of Borderlands, DA:O, and ME2? Will we see more of these re-releases in general?

Hold the phone! You changed your avatar. 
 
On topic: Yes I think it will be a growing trend. It lets the developers and publishers throw another full priced game out on shelves and make a quick bucket of cash.

I don't like buying games that have different covers and/or names than the original game. It's also another reason why I never buy used games.

" Hasn't this always sort of been a trend?  It's just, in the olden days, the only way your could play that bonus content was to purchase the rerelease, which was a big slap in the face if you supported the original game.  Now you can just buy the bonus content as DLC.  You don't get to save any money, but at least you can still play it, and much faster than someone who has to wait for the rereleased edition. "

Yea, this has been a trend for successful games prior to the age of DLC (bundled expansions). It makes sense for companies to do, since there's a gamer market out there that doesn't purchase games until the perceived value is very, very high (I.E. lots of content).  I've enjoyed many games a year or more after their official release going this route. I didn't specifically wait for the GOTY/et al edition, I just passed on the game at first and ended up coming across it at a Target or CompUSA or something some time later.

Probably. It's a good deal for companies, and an awesome deal for people waited to buy or missed out on some great games. I'm already counting with GotY Edition of Dragon Age: Origins near the holidays and a huge discount on digital distribution services during the post Christmas period. Last year we had some crazy holiday sales.