George:
There are many great courses that work better out of a cart. Oh, the walking-is-intrinsic-to-the-game folks can still walk any course - just by definition there is no such thing as an unwalkable course - if one can get there by cart, one can walk on the same road - but as you know, some courses would make one VERY tired if one walked. So we can beat around some semantics, but in the end, it still comes down to what jazzes one about this great game.
I'd say each of these is better played with a cart:
Pasatiempo. Blasphemy for many, I'm sure, but dammit I've done it both ways many times and it is just too damn hilly and too freakin' tiring to walk. I do walk there more than ride, but every time I leave there exhausted wishing I had a cart. I doubt that anyone would call this a "cart-only" course, but hey, you asked....
Either course at MPCC. Again, neither is the world's worst walk... but one misses nothing playing out of a cart, and suffers less exhaustion.
Just about any course in the state of Colorado. High altitude, mucho mountains = better done out of cart. Obviously there are exceptions.
Cabo del Sol Ocean course, Mexico. Very tough walk, incredibly great course. Same goes for every other worthwhile course down there near Cabo.
I could go on and on, that's just a sampling off the top of my head of courses this group would have heard of.
And again, please understand that I prefer to walk also. I'd sooner demand my arm be cut off than demand a cart anywhere in the UK or Ireland. But those courses are generally built before carts existed, with greens and tees quite close together... so even beyond the affront to the golf gods that using a cart there would be, well... carts aren't necessary basically anywhere over there - thank God.
I've just always been one to say that NOT playing a course because it works better out of a cart is biting off one's nose to spite one's face. But again, like I say above, I have a different way of looking at golf than those for whom the game doesn't exist without walking. Fair enough, great big golf world, you know.
TH
ps - full concurrence re KBM's post!