So basically am looking for a new laptop the main purpose of which being is office tasks etc, but also have capability to run a few games encase my rig dies or goes out for repair.

Games that I am looking for it to run smoothly would include: League of Legends, Rome TW2(Since I got most of them I assume if its able to run that one, it will run most of them too.) So nothing too heavy.

I got a few candidates lined up which include:

http://www.ebay.co.uk/itm/Acer-Intel-i5-Gaming-Laptop-8GB-RAM-500GB-15-6-HD-LED-HDMI-VGA-WIFI-Windows-8-/111164874475?pt=UK_Computing_Laptops_EH&hash=item19e1f15eeb

http://www.ebay.co.uk/itm/Samsung-Quad-Core-Gaming-Laptop-12GB-500GB-HDMI-WIFI-15-6-HD-LED-Windows-8-/141053869057?pt=UK_Computing_Laptops_EH&hash=item20d7773c01

http://www.ebay.co.uk/itm/Lenovo-G780-17-3-inch-Gaming-Laptop-Core-i5-3230m-6GB-1TB-HDMI-DVDR-Windows-8-/190829400428?pt=UK_Computing_Laptops_EH&hash=item2c6e51916c

But any recommendations within the <£550 price range that would be considered a great value for money woud be appreciated.

Basically a laptop which can handle a game or two when needed, but mainly be able to sustain internet browsing and office tasks for considerable amount of hours before running out of charge.

PS: Dont mind some manufacturer refurb models that offer decent specs at lower prices

Stay away from Intel Decelerators.

You have these as a couple of options too. :)
http://www.ebay.co.uk/itm/BRAND-NEW-HP-Pavilion-G7-2269WM-17-3-Laptop-Quad-AMD-A8-4500M-750GB-6GB-Window-8-/121171376001?pt=Laptops_Nov05&hash=item1c36607781

http://www.ebay.co.uk/itm/NEW-HP-Envy-dv6-7245us-15-6-640-GB-AMD-A10-2-3-GHz-6-GB-Notebook-Black-/121151795421?pt=Laptops_Nov05&hash=item1c3535b0dd

Need some quick advice, I got this one in my sights:
http://www.ebay.co.uk/itm/HP-Envy-6-1126SA-Sleekbook-2-6-GHz-AMD-Dual-Core-4GB-500GB-Laptop-ATi-Graphics-/321200654362?pt=UK_Computing_Laptops_EH&hash=item4ac90d081a

Alot cheaper than anything I've anticipated, it's a sleekbook so extremely light and long battery life, opinions?

Or this one:
http://www.ebay.co.uk/itm/HP-Envy-m6-1178sa-15-6-Laptop-8GB-RAM-1TB-HDD-Black-Refurbished-Grade-A/130972251477?rt=nc&_trksid=p2047675.m1851&_trkparms=aid%3D222002%26algo%3DSIC.FIT%26ao%3D1%26asc%3D286%26meid%3D1188402407717658801%26pid%3D100005%26prg%3D1048%26rk%3D2%26rkt%3D5%26sd%3D181213135952%26

Does the price difference justify?