I agree with highfigh, there is no simple breakdown.
If the speakers you love are easy to drive, then a beefy amp is not required. If the speakers you love are very hard to drive, a big amp is required.
If you sit only 6 feet away from display, a good plasma could fit the bill. If you sit 16 feet away from display, you need a projector.
If projector, and you have terrible light control, this budget could become astronomical.
If you have fantastic light control, the budget could be rather modest.
Small sized room can be pressurized easily. A very large open area may need not just a biggest baddest subwoofer, but perhaps multiple biggest baddest subwoofers.
All in all however, IMO, blow the budget on the things that make the greatest difference:
Video side, Display
Audio side, Speakers (includes subs)
They are the things that you finally perceive, and are doing by far the hardest part of the chain. It's easy enough to send the correct information from a bdp or cdp (and very affordbly too).
It blows my mind when some people spend more on a pre/pro than what the speakers are worth, or more on an amp, than what the speakers are worth. I mean, ok, extremely high budget, proportion can fall out of whack, but I mean for something like a mid-level budget.
If you buy monoprice (cabling, switcher, tv mount, etc), you may just have increased your budget by $1000, so happy hunting.