I think what may be the problem, is that if you have the older version of the xbox 360, it has the hd/sd switch on it. Well if you have an Hd tv you might have the switch on Sd or vise versa.(If you have Sd Tv and you have switch turned on Hd) If this is what is the problem, you will hear the game, but you cant see it. so take a look at your Cords and cables. Or maybe you don't have the right settings turned on. If this don't work let me know .
mine does the same asks for me to open tray all you have to do is turn it off, turn it on its side...
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mine does the same asks for me to open tray all you have to do is turn it off, turn it on its side or vertically up which ever is opposite to what positions its in now, turn it back on with no disc inside, open tray and put the disc back in and it should work fine :P hope that helps