Its relatively easy to find isolation transformers on eBay that are configured as follows-

Some like the SignalTransformer DU series have multiple taps for adjustment of input/output voltages, but the majority simply have dual 120v primaries and secondaries, like toroidal medical isolation transformers, and 'extreme' EI cored transformers from Topaz, MGE, Xentec and Elgar. These all provide grounded shields between primary and secondary and are generally very good units.
Typically, I've configured these transformers with the primaries in series (wired for 240vac) and the secondaries similarly wired in series for 240vac, but with the center tap of that secondary connected to ground. When you feed the primaries 120vac (after downrating to 1/2 the Kva rating to reflect the current rating constraint), you get 120vac, balanced, split phase 60-0-60vac.
For US code compliance, balancing transformers require a gfci output, as the 'neutral' which is a grounded conductor (NOTE! this is not the same as the 'ground conductor', the mains safety ground), now carries voltage and components do not typically switch and fuse that expected neutral line.
In N.A. (and Japan) a residence typically already has a source of balanced, technical power, our 240vac outlets (in Japan 200vac?), which are used for large appliances like airconditioners, stoves, dryers, etc... I'm unsure as to the availability of similar split phase, doubled voltage outlets in single phase 240vac countries.
So what happens if we turn a balancing transformer around, feeding it 240vac balanced, producing single ended 120vac at the output? Like so -

not shown is the needed input switching and fusing
Consider what C1, a properly specified 'X', across the line cap does. What does it do in the presence of common mode noise? What does it do with normal/differential mode noise?
FWIW