Sony used to make a QWERTY Android phone as little as a year ago, that is still available, the Sony XPeria Mini Pro. As you can guess from the name, it is a very compact phone, and comes from before they ditched the Ericsson part of their mobile phone brand. It was serviceable, but by now out of date.

http://www.sonymobile.com/gb/products/phones/xperia-mini-pro/