As a personal user of the DROID RAZR M, I've got to say that Motorola's 2012 line of branded DROIDs have held up remarkably well. That's due in no small part to frequent and relatively speedy updates. The latest one doesn't come with a new version of Android (they're running 4.4.2 at the moment), but it does have a few security enhancements and improvements to the default messaging app.
If you've bought a DROID phone from Verizon and Motorola at some point in the last two generations, you've got an update coming soon. The carrier posted update materials for all 2012 and 2013 Motorola DROIDs: RAZR M, RAZR HD, RAZR MAXX HD, Mini, Ultra, and Maxx. The older phones are getting upgraded to Android 4.4.2, while the newer DROIDs just get a stability update.
If all-day-and-maybe-all-night battery life is an important thing in your quest for a new smartphone, you'll have a hard time finding something that lasts longer than the Motorola DROID RAZR MAXX HD. The device's massive 3,300mAh battery should be enough to last you through the workday, the evening, a night out, and then some, while its 1.5GHz Snapdragon S4 should keep everything humming along nicely on the 4.7" 720p display.
If all that sounds lovely, but you don't want to shell out a couple-hundred dollars to get one for yourself, Amazon Wireless has the deal that'll get a brand new one in your pocket for a mere $80 – so long as you're willing to throw your John Hancock down in agreement to be loyal to Verizon for the next two years.
If you're looking for a solid LTE phone on Verizon, you'll be hard-pressed to find one better than the Droid RAZR MAXX HD. Its massive 3300mAh battery is enough to easily get you through a day (and then some), Motorola's SMARTACTIONS help automate your life, and the recent upgrade to Jelly Bean (4.1) puts the icing on the cake. And since this was one of the first phones to come out of the "new" Motorola, it should get better support than, well, all previous Moto phones.