Sorry to hear about your problem, I will be happy to help. I hope you find the time and information I provide to be valuable and will honor the good faith system of this site. Please be aware the answer to your question may not be good news and the procedures that are required to solve your problem may be complex and could involve replacing parts that can be expensive.
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Yes, it indeed seems that your lamp is going out. The lamp is designed to run for about 6000 hours then go out. It is made to be fairly inexpensive ($100-$200) and simple to replace (goes in a trap door on the back of the Tv). I strongly suggest you get an original Mitsubishi product because generic lamps can fail early or even sometimes not work at all. Here is the lamp you need: http://www.dlplampsource.com/tv/mitsubishi/wd-60735/915b403001-television-replacement-lamp.html
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Get the shutdown error code-
Make sure lamp, lamp door, back cover, etc is installed properly.
Plug in Tv.
After Tv initializes press power to turn it on.
The Tv should try to turn on a few times then shutdown with the red light.
Go up to the front panel on the Tv, press and hold MENU + DEVICE (INPUT) until a light on the front starts blinking a two digit code like 3 blinks pause 4 blinks repeat, or 5 blinks pause 6 blinks repeat, etc.
Report back here with the error code.
Other thing you can do is pull out the old lamp and look at it. If you see dirty dingy inside, cracks on the reflector, shattered pieces inside, bulging area at the bottom of the stem, then the lamp is worn out.
ya, 66 error is lamp error