Don't listen to these people who are stuck in 2005 saying you can't game on a laptop for less than $2000. $800-$1000 can easily get you a more than capable gaming laptop and while it won't be quite as powerful as a similarly priced desktop you won't be too far behind and still have the advantage of a laptop.
Pretty much just look for something with decent discrete graphics. If a laptop has that everything else will fall in line. Cut out the unnecessary extras like 12GB ram, bluray, SSDs, RAID, 6 core cpus etc which do very little for gaming anyway. The options you posted seem pretty good (I don't personally have the time to fully go over either) but I would recommend ASUS just because that's what I have and love it. I bought one for $800 two years ago and it still holds up well on most games and obviously something you buy similarly priced today is going to be much better.