I would recommend:
- Lenovo y510, built for gaming, has significantly lower batter life and it a bit heavier/thicker, the 14 in version (y410) only has a 1600x900 display but that should produce the same effects as a 1080p screen at that size.
- Lenovo u430/u530 you would need to wait up to 1 month for these to completely come out but they are ultrabooks and have a 740m graphics card which is pretty powerful.
- Lenovo z510 this one is more budget friendly and also has a 740m graphics card, but sacrifices battery life and weight.
All are easily under your limit by at least $200. Personally I would go with the u430, but you should be aware of potential WiFi issues due to the lower end card, although this can be upgraded quite easily.