I also had the same issue. About three months ago, I had water damage to my brand new Droid x2, and experienced the same problem. Yet again, the phone has now started randomly acting up again. I did what the previous poster said to do, except I'm too anxious to let my phone charge without the battery, so I skipped that; I immediately took the SD card out. Thinking that this wouldn't do anything, to my surprise, the phone actually booted. I have the backlights, I hear the Droid sound, the little vibrate you get when the phone boots, but no display. It also rings when there is a call coming through, so I guess there's a signal here still. The only issue I'm really having besides the no-display screen, is that I cannot manually turn the phone off with the power-button; removing the battery is the only way it will turn off.
Does anyone have a solution? Maybe I should plug the phone in without the battery as well? The thing is, I had my phone charged with the battery in all night, so I feel like charging without the battery wouldn't make a difference... I guess I'll wait it out and see if there's a difference. I will keep you updated.
UPDATE: After many, MANY attempts to get the phone working, and a nasty walk-in to Verizon who told me that there was no hope, I went back home and took the battery out. I didn't even touch it because I was 100% convinced that it was done for. An hour passed, and in frustration, I put the battery back in and tried to turn the phone on. I actually had to take a double-take at the screen when I saw that it
actually lit up.

I guess keeping the battery out without the charger is what did it for me. The SD Card is in as well. Although, as Coastieee had mentioned, it is a good idea to take the SD Card out first, and try turning it on, (just to see if it will do anything at all). If anything happens, you're in luck.
So for anyone who is running into the same problem I had with no display and everything that Coastieee and douglasfresh12 mentioned, do what Coastieee did: take the SD Card out and try booting the phone, with and without charger. Anything happens? Good. Still no display? Then take the battery out for about an hour without the charger, and keep the SD card in. Let an hour go by without touching any buttons. Once an hour or two go by, put the battery back in. Hopefully your phone should work. If it works, let it load. Don't touch any buttons, be very gentle with it. Once it gets to your home screen, let it sit for a couple minutes, then turn it off manually. Then turn it back on, (just to insure that it's "stable"). If all is well, then you should be set.
It's pretty much just a waiting game, so just be patient. Could be a whole day to get your phone to come back on when you're getting that damn green blinking light... I mean, the blinking green light is better than none at all.