Sir, you are really too kind and a true Gentleman.A good short answer to this question is whatever @Marco recommends!
I don't use a ton of non-artisan soaps but here goes:
1. Cella Red (Brick) - I still have mine from my purchase in April of 2012 and use it for all of my head shaves. It is perfect for that.
2. SV 4.3 - This would be the one I use for my face. Lather can get incredibly thick. I haven't found a scent I truly love yet though.
3. Barberia Bolognini - not sure if this is considered artisan but it seems made in the classic ways. Vigoroso was/is one of my top 5 scents of all time. Unfortunately, I think it is discontinued. The classic scent was also a great almond smell. I wish I had more tubs of these!
4. Razorock La Famiglia - not sure if this is considered artisan but it seems made in the classic ways. The scents were incredible! Cumba Cheech, Zi Peppino, Nonno Michelino, Don Marco! I don't think I have ever been so excited about scents than these. I bought these all at once and loved them all - that has never happened again! Now a days, in most of the artisan soaps, I find the scents so bad that I am trying to find the least offensive but these are truly positive. Unfortunately, this line is discontinued. I have not tried the new line but Don Marco and Zi Peppino remain and they are tempting. Just thinking of these brings me back to my first years on the forum and awesome posts by @Marco about Italian soft soap. CLASSICS!
Honorable mention goes to P.160 brick - This is a classic that has also been lost to history. Beautiful almond scent though I prefer the scent of my beloved Cella over it. My brick is long gone but it was a classic.
P.S. A Saponificio Varesino shaving soap scent that I like a lot is Manna di Sicilia.
Among RazoRock's soap Plague Doctor is just amazing.