With my own ultra-sensitive skin, I must be selective in the types of shave soaps and creams I use. Generally, I avoid the scented ones, although a few prominent names work for me without any problems. The following are some quality soaps and creams that work well with my sensitive skin, and they might work for you:
Castle Forbes creams
Esbjerg verbena cream
Xpec cream
Baum.Be cream
Santa Maria Novella cream
Taylor of Old Bond Street "Jermyn Street" for sensitive skin
Taylor of Old Bond Street "natural" cream
Truefitt & Hill Ultimate Comfort (unscented) cream
The Art of Shaving unscented cream and lavender cream
Mitchell's Wool Fat soap
Lea soap
D.R. Harris' Arlington, Windsor and Marlborough soaps
Green Mountain unscented soap
La Cigale soap
Provence Sante soap
Institute Karite soap