I've got this ALCATEL 5015A Pixi 3 (5) 3G phone, which was dropped in something wet. Don't ask what, I can only assume it was a shallow puddle.
When I take the battery out, and put it back in, the led on the top right corner lights up.
When I push the power button I can hear the 'logo jingle' you get on some phones.
After that, I get a regular 'tone' 15-30 seconds apart.
Yes, it has a SIM card in it. No, there isn't even the slightest of light coming from the display assembly other then the 'status' light.
I even left it unplugged for over a week (two?) and the light remains on after removing the battery and putting it back in.