Final answer:
The unique industry to classical China was silk weaving, deeply integrated into the culture and significant in international trade.
Step-by-step explanation:
One industry unique to classical China was silk weaving. The Chinese economy saw many peasants specializing in the production of goods for the foreign market, including those who raised silkworms and produced silk thread. This thread was then sold to households that wove silk cloth, contributing to the renowned silk industry. Pottery, masonry, and bronze metallurgy were also important industries in ancient China, but silk weaving is notable for its deep integration into Chinese culture and its significance in international trade, particularly via the Silk Road.