In the last 2 years I have pulled out 3 stumps. None of them with a winch. #1 was with a 3/4 ton Dodge with a Cummins, #2 was with a 420E Caterpillar backhoe (that stump was in there - took about an hour to pull/dig out, even with the backhoe), and #3 was with a 29 hp Kubota tractor - This was a smaller stump, so the tractor handled it ok. It's good to know someone who has a backhoe.
If you don't have access to machinery, I would suggest cutting the stump flush to the ground, then having someone come in and do some stump grinding. You could do it cheaper by applying some stump-rot to it. Takes a while to work though.
The video at the beginning of this thread is hilarious. What a bunch of dopes. Of all the people standing around watching, you would think that at least one of them could see what was going to happen. I feel sorry for the little truck.
Firefighters Jeep Club
All gave some, some gave all.