The Samsung has a pretty weak video card; nVidia GT 525. Therefore, you will probably be disappoint by it performance in games. Also, be aware that playing games on a laptop is limited compared to a desktop PC because you generally cannot upgrade the video card for at least 98% of the laptop sold. That remaining 2% of laptops that can allow you to upgrade the video card are rather expensive. Google search Falcon Northwest as an example. Getting 4+ years of gaming is possible as long as you live with either low or medium quality graphics depending on the video card's performance and how demanding the game is.
The IdeaPad Y560p as suggested by hang-the-9
has a Radeon HD 6570M which is considered a moderate mid-range video card for laptops. Weak compared to it's desktop counterpart, but we are talking about a laptop here so you need to make sacrifices. It should do well in most games. However, it only has a Core i3 CPU compared to the Core i5 in the Samsung. But if gaming is the priority than you will get better performance with the Lenovo.
Here's a link to all Lenovo Y560p laptops:http://shop.lenovo.com/SEUILibrary/controller/e/web/LenovoPortal/en_US/catalog.workflow:category.details?current-catalog-id=12F0696583E04D86B9B79B0FEC01C087¤t-category-id=11F9D0DAE522E3F69D3905B1E8A9C1A1
I ordered a 14" IdeaPad 470 last week. It is currently in the process of being shipped from China. I really hope they do not install the Chinese version of Windows 7 by accident. A 15.6" laptop was a bit too big and heavy for my preference. This particular model (085523U) is currently selling for $749 and come with a Core i5 and a nVidia GT 550M video card which is even faster than the Radeon HD 6570. I managed to snag this laptop for about $674 with a 10% discount (expired now); don't forget to add tax though.
Here's a link to the entire line of IdeaPad Y470:http://shop.lenovo.com/SEUILibrary/controller/e/web/LenovoPortal/en_US/catalog.workflow:category.details?current-catalog-id=12F0696583E04D86B9B79B0FEC01C087¤t-category-id=DDF9ECA3EE7295319F81388519B2B09A
I'll probably play some games on my Y470, but I bought it 'cause I wanted a new toy to play around with. I got my desktop for games.