Samsung 60" DLP - 6

I would first check the lamp is properly seated and was it a Samsung or a generic brand? Also not indicated is does sound remain or not.

Sounds like your color wheel is going out.

if your TV is slow to light up when first turned on its more then likely your bulb. When your bulb start to go bad it will take the TV longer to come on. Try using the bright feature in the menu. If that brightens your TV up then its your lamp going bad.
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Hey, is it a side mount, single bulb? My GRAND WEGA had the same problem, I figured it out and now it looks BRAND NEW.

it sounds like the dmd board is failiing

You need a new lamp...

have the digital modual replaced

it's about 3000 to 5000 hrs. on the bulb this translates to about 3 to 5 yrs. of normal use. it can, however, be greatly reduced by the number of on/off conditions. lamps need to cool down that is why the fans run longer after shut down.
obviously if the TV doesn't turn on that can be lamp. weak or dim picture is another sign.

could be the lamp, and is about time for a new one
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If it is a Hitachi 60V500 LCD projection TV, then I would suspect the lamp being the problem.