You never want to tether yourself to a single cable option to any display. While it sounds like such a good idea, when you have long runs such as your setup involves you want to run EVERY cable you might need the first time, then not bother with cabling ever again.
So, HDMI, composite, HDMI, and VGA are the very least that I would run. I would add cat-5 for potential networking as well (at some point).
There are numerous ways to send HDMI 75 feet, including cables that have actually been certified up to that distance (I believe). But, repeaters can help, and there are HDMI to optical coverters as well.
Technically HDMI carries the same HD signal over the cable that component video does, so it should also be considered whether or not HDMI is actually going to give you any image quality boost. Over a good component run vs. a HDMI run, in about half the cases the video quality remains the same, or very close to the same. The other half of the time, (mostly) HDMI will look noticably better. But, not a 'ton' better - just a bit better typically.
This is something you can test by putting your HD disc player close to your display and testing with shorter cables before running the long cables. In my similar setup (long runs) I simply haven't run HDMI to this point. I know I will at some point, but right now I not only get full HD via component, but I have a component video matrix switch so my HD DVRs, DVD collection, and PS3 (Blu-ray) can be sent to any room of my home. My wife can watch something on the DVR in the bedroom, while my son watches Toy Story in his playroom and I work Resistance: Fall Of Man on the projector in the family room.
I'm not sure that HDMI makes as much sense for everyone as some would lead people to believe. It sure as heck isn't a 'standard' part of sub $1K receivers at this point! Plus, no matrixing and limitied/iffy distance issues.