Boshih: Shih Tzu / Boston Terrier. The Boshih is a cross between a shih tzu and a Boston terrier, and we understand why this mix is a fan favorite. The Boshih combines the fun coloring of the Boston terrier with the longer hair of the shih tzu, creating a very unique (and cute) look! Boston Terrier + Shih Tzu = Boshih. Answered By: Arvilla Fisher. Date created: Sun, Feb 28, 2021 12:42 AM. Should a Shih Tzu Mix end up with the Shih Tzu coat, they will need to be brushed every day, bathed ...