Snubber and Y-cap (GND-GND) depend on transformer characteristics.
Ideally, a shielded transmission line transformer could be made, giving very little common mode noise, and a modest amount of leakage which may be tolerable without a snubber. This is not easily made, however: personally, I'd sit down and take about an hour to design such a thing, checking against available cores and bobbins to see how much winding area and wire length is possible, and therefore what impedance, and how much leakage inductance, I can get.
But if you're just putting windings on a core, count on needing both, and common mode chokes.
Typical snubber is just the drain pin into a diode into a capacitor to ground. The cap is relatively large (>= 10n?), so that the peak voltage gets clamped by it. This "boost" voltage is discharged into the DC+ supply with a power resistor.
The capacitor can be DC+ referenced, if the DC+ bypass is nearby. This is often seen in commercial designs, since it's easier to lay out (the R and C are simply in parallel).
Note that you want a TLVH431 or the like -- lower minimum current.
Tim