Your best bet would be a HDV camera which uses tape.

I have to disagree with that recommendation. I feel HDV was a very bad idea from the start, as it uses MPEG compression, which creates artifacts in the original recording. Right now, the only 'affordable' HD camera that deserves recommendation is the HVX200A from Panasonic. You will also need CS3 for this, as the Panasonic's superior recording format and Blu-ray export wasn't supported until then.

None of these options will record the Full HD raster of 1920 x 1080. For that you have to step up to the $50,000 (without lens) Panasonic HPX3000, which is the cheapest HD camera on the market that will record 1920 x 1080. HDV and even the Panasonic 200 record only 1440 x 1080 or less.

In short, what you want will cost you more than you're likely able to afford, so you'll have to compromise somewhat.