My Droid Razr M stopped charging a few days ago, no charger would work. Now it is completely dead and I still have pictures saved on my internal storage. Is there any way to get the pictures off of my phone?
Check your Google+ account and see if the pictures were auto-uploaded.
If not, you would have two options:
(1) If you have insurance, call them to see if they have a data recovery feature.
(2) If you don't have insurance and the warranty has expired, and you feel brave/confident, you could try to replace the battery. The problem may be as simple as a bad battery. If you look around online, you could pick up a new Motorola battery for less than $16.
Won't help with your situation but for future advice always back your important stuff. Plenty of free cloud storage out there.