If you're looking to abandon your existing carrier and move to Big Red, then the RAZR M is a great phone to choose for the transition. And now you can grab it from Amazon Wireless for only a penny (Black, White). That's a top-notch phone with Jelly Bean (4.1.x) for basically free - and it's still $99 at Verizon.
If, for some strange reason, you'd rather have an older model, Amazon Wireless is running a number of other devices for a penny, like the RAZR MAXX, HTC Rezound, and the DROID Incredible LTE. Not sure why'd you want to buy older tech on a two-year agreement, but hey - to each their own, I guess.
The 16GB GSIII is on sale for $59 (black, brown, blue, white) and the 32GB for $129 (blue, white), down from $149 and $199, respectively. The RAZR MAXX HD is $150, which is a $30 savings over its previous price.
Hooray for cheap phones!