as an professional IT Consultant I will tell you, Acer is a terrible manufacturer....
now, onto my advice..
if you really want a gaming Computer, you Don't want a laptop, you want a Desktop..
Sure you can carry a laptop around with you, but they just aren't designed as a legitimate gaming machines.. you can't (in most cases) swap out components as requirements go up.. meaning you will have to buy an entirely new machine as requirements increase, while with a Desktop you can swap out Components to increase its performance... so a laptop is gonna cost you alot more money in the long run..
for gaming you are gonna want a Desktop, I suggest a higher grade AMD Processor personally, but higher grade Intel I7 Processor will do fine just as fine... your gonna want no less then 8GB of RAM, but since the new consoles are comin out soon, PC requirements will likely see a small jump, so double that to 16GB of DDR3 RAM... as for Video Cards, i am currently running on a GeForce GTX 690 which is running great atm, i suggest something in that product line...
but yeah, you are Not gonna want a Laptop, and you Definitely DO NOT want an Acer... Acer is one of the worst manufacturers in all honesty.
Acer = bad machines
but if you do start gaming on laptops rather then desktops, its gonna cost you ALOT more money as you cant upgrade most Components, so you will have to buy a new laptop every time gaming requirements take a jump... with a Desktop you can just upgrade a component, which is ALOT Cheaper...
So, thats my Advice..
just FYI, I have A+, and Cisco Cisco Network Certifications, and just got my Microsoft certification yesterday.. so I am familiar with the IT Field
EDIT: Ohh, and Lenovo's have an issue in my experience where the Capacitors blow really easily... and replacing bad Capacitors can be a real pain..
EDIT 2: if you want to go with pre-manufactured, I agree with an above poster ASUS is a decent brand.. and Certain HP product lines can make good machines...
EDIT 3: problem with buying a machine pre-made though is now I believe they all come with Windows 8.. I Have personally had alot of issues getting certain games to run with Windows 8... so if you build one yourself, and you can install windows 7 onto it... which does not have as many issues with some games in my experience...