1. Tough - rugged laptops are a specialized category. Dell makes a hardened business Lattitude model and the gaming Dell XPS M1730 is based on a Dell Precision magnesium chasis both of which are cheaper than a Panasonic Toughbook.
Any other consumer brands or models would be about the same if you are looking at "toughness" instead of "reliability"
Unless you get a specifically designed hardened laptop as mentioned above, don't expect to be able to drop it even once and have it survive.
If you decide not to pay extra for a specialized "tough" laptop, one solution would be to pay extra for a 3 year extended warranty that covers accidental LCD breakage etc. Most manufacturers offer that for roughly $100 per year.
2. Good looking - right here you have conflicted with tough although the Dell XPS M1730 is almost tough and really good looking. The M1730 will fail on lightness requirement.
3. Games - completely depends on the graphics chip:
4. Fast running - Fastest would be a Quad Core CPU. Otherwise any modern CPU should be decent.
5. Great memory - you probably mean disk space, but RAM is good if either 4 gig or 8 gig and hard drives of 320 or 500 gigs are easy to get.
6. Decent battery life - subjective of course but this requirement conflicts with fast running since there is no magic bullet to save battery other than runs things slower or get a larger battery. Get an extra battery pack when you get the laptop and keep it charged might be a solution so you don't have to compromise speed or gaming.
7. Light - there is no way for laptop manufacturers to violate the laws of reality (physics) - Speed generates heat. The best way to get rid of heat is lots of heavy copper plumbing. A light laptop will either run very hot or be very noisy or always run in a variety of irritating slowdown modes or sometimes all three of these irritating things.
8. Reliable - most blue screens come from using low-end integrated graphics chips without dedicated video RAM. Then there is the issue of the missing copper plumbing...
9. Price - $2000 is not even close to enough if you need a hardened laptop. It can get you a Dell XPS M1730 if you watch for deals. There is no laptop at any price that ideally meets all your requirements.
10. Brand - The only Apple that doesnt have sub-par components is the Macbook Pro 17" with the 7200 rpm hard drive upgrade.
Better than Apple would be a Sager:
If you really need tough, then you will have to sacrifice light and afforable and look at Panasonic or the specialized Dell.
11. Anything else - be sure to get a 7200 rpm hard drive or a solid state hard drive.
Your reading requirement - depends on screen resolution and quality - generally the 1920x1200 LCD's have good resolution and quality and a LED backlight on it helps as well.
12. The Dell Studio XPS 16 might be a good compromise of good looking and power as it can be configured with a great LCD selection, a 7200 rpm hard drive and a graphics chip that is quite a bit better than a Macbook for a good price. Has the sleek black look and a backlit keyboard and the best LCD quality in a laptop.
Dell Lattitude E6400 ATG: