My 2 cents worth:
First I agree with the ram recommendation, one thing that I look for is a discrete video card. Some lower end machines have integrated video which means that it shares memory with the computer. A discrete video will typically have its own GPU and memory which can allow it to work independently.
Granted this suggestion like memory will cost extra, it all really depends on how you plan to use your computer. If it is for grandma, and all she wants to do is email, then it's probably not required.
I'm a little selfish when it comes to equipping computers, I typically over engineer it, e.g. bigger processor, extra ram, big video card and fast hard drive. I've had a SSD for a year now, and I'm spoiled. I love the speed and responsiveness.
Good Luck in your final decision.