5+ Hours battery life WHILE GAMING doesn't exist - mine has "5+ hours battery life" (ASUS N550JV-DB72T).... while I can get that running spreadsheets, I get at best 1 1/2 hours of Skyrim on battery, online gaming will be even shorter.
But xotic PC has quite a few of the good gaming options listedhttp://www.xoticpc.com/custom-gaming-la ... 96_98.html
If you go for a 1080p display, you'll probably want at least a GT 760M or GT 860M graphics card even though a 750/850 will give better battery life. I have the 750M, and it struggles with some games like FarCry 3 & Tomb Raider 2013 - medium settings & still get mild stuttering in very heavy action on the 750M.
EDIT... if you buy from them... DO NOT get the copper cooling upgrade. They just stick a couple 1cm square copper RAM sinks onto the heatpipes with tape & they will likely come loose eventually. A highly conductive material sliding around inside a laptop.... two of the 4 they put in mine came loose & I've owned it for only 8 months, & it only leaves the desk twice a week when I go to my CCNA classes.