I bought Braid for the Xbox 360 arcade about a year ago. I wanted to play it again, but when I selected it from the game library and launched, the game thinks it's in trial mode. How do I get Braid to remember that I bought the full version?
This may be a known bug in Braid. If you take a look at this post on their official site (I realize it is from 2008, but the comments say this is still an unpatched bug), it mentions possible reasons why the game reverts to trial mode.
You can try redownloading the game, and it should recognize that you've already purchased it and unlock the full game on the new Xbox. If that doesn't work, some people have mentioned they have had success using the License Migration Tool. So you could give that a shot.