AB2012: As I mentioned the other day, the "newest" EA games here are Dragon Age Origins, Mirrors Edge and The Saboteur (all 2009 games). Then EA created Origin in 2011. And absolutely nothing since. It's not even about DRM or waiting for games to become "old enough" to be here anymore, it's all down to
"The moment we create our own store, that's it, we're done..." Well, Origin came out mid-2011. The 2 main games that came out before that were Dead Space 2 and Dragon Age 2.
I have Dead Space 2 in a box. It does have non-functional DRM on it (release date check), but you can download a fixed .exe (a crack essentially), from the official EA forums. Then just put in the serial code that came in the box and you can get in the game without issues. And the in-game account is only necessary for multiplayer anyway and you can skip it. Single player works perfectly fine. So should not be too difficult to make a DRM-free version.
As for Dragon Age 2 it is already irreversibly infested with online checks. It also has a release date check like Dead Space 2 but it can be circumvented. However, it also requires you to create an EA account and will not let you start the game without creating it. The reason why I have my torrented version always on hand.
But before that, all the games EA released in boxes didn't require anything. That includes Command & Conquer games, the Battle for Middle Earth games or even Medal of Honor: Airborne. The box series was called "EA Classics". The online activation BS started creeping in only towards the end of it (2010-2011) and EA stopped it completely after the Origin release. Shame.