Which laptop is best? ($700)

To be honest - the lenovo notebook is the worst in this list!

Simple explanation - it does not have dedicated graphic - only integrated.
My suggestion is Acer, because it has dedicated graphic Radeon 7670M AND integrated one (because it's A-10 Trinity APU which includes Radeon 7660G) - in fact these TWO graphics cards works together in CrossFireX mode making this machine better than amd a-10 alone (lenovo) or intel i5 + radeon 7670M together (hp). And there is OpenCLI which accelarates PC by using graphic's card computing powers... not really used much, but i'll probably change soon, because this is new.

My choice would be A-10 with integrated 7660G and dedicated 7670M - this means ACER which is listed. They have really good batteries also, but most important is that, the PC would perform more efficiently. Especially because it can switch between graphics - according to current usage.

I'm going to buy somethinh similar my self, but I'm waiting for 17 inch screen models... probably I'll choose something like ASUS K75DE http://www.bestbuy.ca/en-CA/product/asus-asus-k-series-...

Go for the HP or the acer. either will perform similar. The i5 is better than the a10 especially when you take into account that few things use more than two cores.

Hybrid crossfire is a gimmick. It rarely works, especially with the high end dedicated cards (7670m). You might notice up to 30-40% increase in some games but most games will show no to little increase and some will show a substantial decrease (especially cpu heavy games such as GW2). Both intel and Amd processors have integrated graphics and so will save battery life. You will have to look up reviews of a10 + 7670m to see how it stacks up.

Note that these reviews must be real world games, hybrid crossfire works very will in artifical benchmarks (3d mark) but poorly in real world games. EX) a10 +7670m in 3d mark 11 get the same as a 650m but a 650m destroys them in actual games by a factor of two.