Those are not fusion reactors, in that they don't achieve the fusion equivalent of a chain reaction (for fusion, that's "breakeven", Q=1).
Achieving fusion reactions is very easy, compared to that. But simply achieving fission reactions (without a self-sustaining chain reaction) is even easier -- they occur naturally in uranium ore, without any human intervention at all, from spontaneous fission and fission from neutron background.
---------- Post added 2013-02-20 at 01:52 PM ----------
Fermi was a fiercely competent genius, so I don't think it was luck. Also, Szilard remembered that graphite was manufactured in arc furnaces using boron carbide electrodes -- and boron is a fierce neutron absorber, so even small amounts of contamination would ruin the material. He pushed tirelessly for the graphite makers to switch to better electrodes.