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Another game that springs to mind that did this is Silent Hill 2 amongst many others.
I think this kind of integration might work better....where you could somehow benefit from watching the cut scene....this would surely enhance the flow of the game plot..
However, they are not always nessecary, just look at Half Life. The entire game played through Gordon's eyes, you didn't even speak to anyone, but you found out the plot etc from cleverly placed events in the game itself
Sonic
Some games just need cut scenes to help the game on, recently games have become more like films with a good balance of actual play and cut scenes to watch. Without them you would just be fed streams of text to get to know the plot like much of the Final Fantasy games. Either that or go back to the old style games on the lesser consoles and just have no plot and just a game to play. I know which i would rather have.
Games need cut scenes to move the game forward, its up to you to choose the right game that has a good balance.