I did just what you have in mind, using regular door hinges as the hinges, connecting to a wood support beam across the back. But I think the bar-and-pivot approach that widget2k13 suggested (and in the photo you found) is better.
Be sure to pay attention to the geometry when figuring out where to put the pivot point:
1. Put it far enough forward that you can tilt the TV most of the way up. The backbox ledge can get in the way if you put the pivot point too far back.
2. Put it far enough back that the back of the TV won't dip too far down into the cabinet when you tilt it up. It might hit components inside the cab if it dips down too far.
If there's any way you can look at how they do it on real pinball machines before committing to a design, that might be helpful. The old ones have fixed pivot points like in the picture you posted, but the modern ones have a better system where the pivot point is on a track so that you can pull the playfield forward before tilting it up, to pull it clear of the backbox ledge. I'd like to come up with a way to do that with off-the-shelf parts, as the mechanism they use on the real machines is clever and a bit complex - if you can find an example maybe you can solve that and post a solution.
Whatever mechanics you come up with, definitely do this! It's really useful to be able to get into the cabinet so easily, without having to get out any tools or take anything apart.