Define "artisan" first. It's meaning has become increasingly slippery in recent decades. Does it only mean made totally by hand? Corporate vs. small business? Family owned? Having less than X number of employees, or only the owner makes the product?
Some of my favorite soaps I'm sure most would include in the "artisan" category, so I leave these off my list. The following may or may not be artisan, depending upon your definition, so pick the first that applies to being non-artisan as my favorite in said category:
If Valobra is non-artisan, Czech & Speake would be my #1 non-artisan soap.
If Martin de Candre is non-artisan, #2.
If Haslinger is non-artisan, #3.
Tabac is almost certainly non-artisan, so would be my first pick if the first three are considered artisans, otherwise #4 non-artisan.