Which apps for iPod touch 4g are compatible with the Apple Digital AV Adapter?

I've got an iPod touch 4g 32 GB, iOS 5.0.1, and I want to buy an Apple Digital AV adapter, especially for my apps. But I have read that not all apps are compatible with this screen synchronisation, so I'm not sure that it is worth it.

Here are all my apps, and I'm asking you to give me feedback if they are compatible or not.

1. Real Racing 2

2. Need for Speed Hot Pursuit

3. AVATAR

4. Spore Origins

5. Spore Creatures

6. Angry Birds

7. Fruit Ninja

8. Modern Combat 3

9. Modern Combat 2

10. N.O.V.A. 2

11. Dead Space

12. BFBC2

13. Plants vs. Zombies

14. Brothers in Arms 2

15. Prince of Persia: WW

16. Infinity Blade

17. Infinity Blade 2

18. Gangstar: MV

19. Galaxy on Fire 2

20. Six-Guns

21. Osmos

So if you really know which are compatible, I'd be grateful for a feedback.

Thank you all!