Ok, so I'm at my wits end. I know it's been a while since I originally brought up the issue, but here's an update.
My wife and I finally figured out a way to rearrange the kitchen and add a second litter box. They're not next to each other and each cat has his own box. My first cat, who has no issues using a little box, still goes in his regularly.

As for my second cat, we got him his own little box and the first day we brought it home, I set him in it and he immediately peed in it to mark it as his own. We, of course, couldn't have been more thrilled.

However....now all he does is poop next to his box instead of the old one. He WILL NOT GO IN IT. What in the world do I do? He pees in his new box without a second thought. The other cat also does not use his box so it is solely his. He still refuses to poop in it.

Anyone know what to do about this? I love my cat and he is a wonderful little guy, but one can only take so much of cleaning cat poop off of their kitchen floor twice a day every day for six months. It's enough frustration to toss him out on his ear and tell him to get lost and believe me, if I didn't like him so much it would have happened a long time ago.

Please, any help would be wonderful.