Three, no. There are tons of top quality soaps, asking which three will get you a list of 100 from 33-1/3 people.
Because good soaps are common, I prefer to sort out my selection by scent, not quality, though I demand a high quality soap.
A good fougere - Martin de Candre
A good Lavender, Castle Forbes or Czech and Speake.
A good lime, Castle Forbes or Maggard's Limes and Bergamot, old harder version.
A good rose, Vintage Klar, LpL Rose de Pushkar (a favorite scent), T&F rose, Simpsons Vanilla Rose (can't smell the vanilla) ...
A good almond, Boellis, ABC soft or hard
A spice/leather, I Cloniali mango, discontinued
A 'wild card', whatever I'm in the mood for.