Trace fossils of the Cambrian
Gromia sphaerica were recently discovered off the coast of the Bahamas. Although paleontologists had previously assumed that these were multicellular organisms, this particular set of fossils indicate that these giants -- up to 3 cm in diameter -- were single-celled.
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Radley Balko
Otherwise, I'm not sure that I've heard of a viable single celled organism that's that large.