I have had the Droid only sense 03/05/10 and I already have a problem. After about a day or two of owning it I did as the instruction said and that was to let it drain completely then give it a full charge. When it finely drained down I was in my car so I use the car charger to recharge but it got stuck on the Motorola start up screen and that is where it stayed for next 30mins so I figure maybe it did not have enough power to charge it so I took it out and waited till I got home. I plugged it in the wall and that did not work so I took out the battery waited for 5 to 10 mins plugged it back in and this time it worked.
Last night it had about 80% charge when I shut it off well this morning I went to turn it back on and nothing would happen. I plugged it in the wall charger and the Motorola symbol came up and nothing else I did notice one thing the charging light next to the USB port was not on. I unplugged it took out the battery and wait another 5 to 10 mins plugged it back in still no light and still stuck. I then plugged it into the computer and the charging light is on now but it will not even start up.
No I have not dropped and I have not done anything like rooting it.