Both. Coax may soon be going the way of the dodo for some things, but it can still be useful for transferring A/V signals room-to-room. I'd also do a double run of twisted pair for everything in anticipation of more and more services requiring it. A few extra bucks now is a godsend in the long run.
Your idea of running everything to a central box is a good'n. Excellent, in fact. Run everything, and I mean EVERYTHING, to a patch panel - both twisted pair and coax. That gives you the ultimate flexibility to divert signal paths down the road. Even if you have unused circuits now, in the future you can parallel or daisy chain circuits as you desire.
I wish all houses were done that way. Would make home theater and data or A/V distribution a snap.
Also, don't forget to run circuits and mount boxes for home theater speaker cabling. You may not use now, or maybe ever, but it's a dandy selling point if you ever decide to move. Ten boxes - front and rear centers, left and right mains, front and rear subs, left and right mid surrounds, left and right rear surrounds. On second though, make that twelve boxes to add left and right front surround circuits. Yes, I know that nothing right now uses a rear center or front surround fields, but it's coming.
Don't forget to add lighting circuits for alcove, above-cabinet, under-counter lighting. Again, they may not be your cup of tea but having the legs run and boxes in place gives you plenty of options and makes for a good selling feature. You may just find you end up using them anyway. Ditto for under-eave outdoor boxes you can switch from inside the house (Christmas lights and holiday/occasional decor lighting).
Edit to add... Don't do pull-string light fixtures. Go ahead and wire switched circuits in the closets/areas where you might be tempted to use pull string fixtures. It might save you, at most, a couple bucks at that location, but it looks and feels outdated and cheap.
Edit to add again... When you run an attic light circuit, for the love of Pete don't do the single one-bulb fixture thing. Go ahead and spend the few bucks to add plenty of fixtures to the circuit so you can actually, you know, SEE when you go into the attic. Also, put decent lights in the garage, okay? Wire in at least two boxes, one per side. Four, preferably, spaced towards the corners. To this day it befuddles me when people who spend a lot of time in their garage won't put in decent illumination.
Edit to add, part III... Presume that, at some point, there will be a ceiling fan in each lighting location. Even if you're not going to install fans, put the bracing in place and use a double circuit (seperately switched fan/light). Also do that in exterior places that tend to get used a lot (back porches, atriums, etc).
Edit to add, part IV... in every area where you will eventually need access to plumbing that has in-wall valving (showers, tubs), put a friggin' access panel, okay? Nothing like having to dig through a closet or scrunch yourself into a tiny cabinet just for the pleasure of hacking a hole in your nice virgin wall.
Edit to add, part V... Also have the plumber run a softener loop somewhere in the home that has enough room for a softener unit, plus a dedicated pre-softener line for ALL the exterior faucets. Again, you may not use a softener, but someone in the future likely will and it's nice to be able to install it without having to do major surgery on the plumbing.
Document everything, of course. Pics too. Make a notebook of all the niceties, both for your own reference and for a potential future buyer.
Brad