HD at 720p is considered full HD so this means almost any laptop with blu ray will do.

The problem is when we hit that Sims 3. Many are confused and think that it doesn't require a high end video card/solution. Having seen this title you'll want the usual 1GB Video RAM and video 3D chipset.

It appears you are willing to live with a shorter life span machine. This has been discussed why it is shorter when we cram what is normally a desktop into such a small form. You shouldn't be surprised that taking the top end CPU, the high power video to run the game will get you a laptop with short battery run times, more weight and shorter life and a higher price tag.
Bob