My requirements for smart phones.

Screen size between 4 inch and 5 inch
LCD/TFT technology based display. No OLED.
Phone width less than 68 mm
Minimum 4 GB internal storage for apps
Micro SD slot
LTE bands for both at&t and T-Mobile
HSPA+ bands for both at&t and T-Mobile
GSM quad bands
Huge Battery at least 2000 mAh, over 2500 mAh preferred.
Android Jelly Bean 4.1.1 or higher
Windows Phone 8 or higher

Contenders

LG Optimus F3
     - The internal storage is too small (1.5 GB)

LG Optimus F6
     - The internal storage is too small (1.5 GB)

Sony Xperia ZL LTE (C6506)
     - Too good for my typical use
     - A bit pricy

Sony Xperia Z1 LTE (C6906)
     - Too good for my typical use
     - Quite pricy

Sony Xperia TL (LT30a)
     - Small battery (1850 mAh)
     - Not so great display

Motorola Atrix HD
     - Small battery (1780 mAh)