I only saw two others on the forum that had my problem.. where the phone sometimes just never wakes up.. or doesn't turn on. The first thing anyone should try is a hard reset. I did not do this before I called Verizon.. but as this is not something easily reproducible in a matter of minutes, there is no way to be sure very quickly if it works. You will lose everything, so back stuff up if you can. If that doesn't work, then you can call Verizon directly and speak to a tech person. The lady I spoke to agreed that my phone should not do that and she asked several techs and not one had heard of such an issue on the Droid, so I was their first with this issue. They are sending me out a new phone, and I am to return this one. I had to pay another $345, but it will get refunded when this phone I have is returned to them. Another option is they can call a near by Verizon store and tell them you are returning the phone for a new one, so you don't have to put any money out. I didn't want to waste another hour or longer doing that, so for me this was easier.
One last idea I had.. I've seen where memory chips (or flash cards) can cause issues as well. IF you have a spared SDHC card laying around, try replacing the one in the phone with the spare one, and see how that goes for a few days. It may be that some of the flash cards coming with the phones are defective and causing this "crash" as I call it.
Hope this helps anyone else experiencing this issue.