i haven't been directly involved, but have seen 3 methods applied up close, successfully.
the commercial grinding operations are LOUD and you can often rent a smaller version for the weekend. they spray chips everywhere, and may need further tidying, but do a pretty nice job.
a truck with a winch or chain and through bolt can work very well, but be prepared for adjacent plants/sod to come along.
there's a chemical stump remover (also useful in pyrotechnics) that the name of escapes me at the moment, but you drill a few holes in the stump, sprinkle it on liberally, and it remarkably accelerates the rotting out of the stump.