I am having the same problem too. I have a 3 month old refurbished Droid RAZR that I got from Verizon Wireless after having 4 defective HTC Rezounds. Since I bought the first Rezound in November 2011, I no longer have warranty coverage. The problem: My RAZR has stopped charging, or charging properly, doesn't charge at all (and discharges), or charges E X T R E M E L Y S L O W L Y. I have an OEM charger, and have tried my husband's OEM Bionic charger, and my Rocketfish car charger. All of them, which used to work, yield the same results. I'm thinking it must be something in the usb port.
Verizon has told me I'm out of luck - try a factory data reset. I did (did not wipe internal storage), and didn't make a difference. They can't help me any further since I'm out of warranty. I contacted Motorola, and they said I could try the FDR and this time wipe the internal storage, but other than that, my only option was to send the phone back and pay $159 for the repair.
Of course, I only have 4 months to go until I can upgrade.
Any suggestions?