When Judaism and Christianity arrived in China what two other religions stayed strong?

Answer 1

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The first reliable evidence of Christian missionary activity in China is found on the famous Nestorian monument - erected in 781 and rediscovered in 1625 - with its lengthy and informative inscriptions in Chinese and Syriac. It states that a certain Alopen arrived in the Tang dynasty's capital of Chang'an (now Xi'an) in 635 during the reign of Emperor Taizong (627-649).

This was a period of remarkable cultural openness and religious tolerance. The native religions were Daoism and Confucianism, but foreign creeds such as Christianity, Buddhism, and to a lesser extent Manichaeism, Zoroastrianism, Judaism and Islam were welcomed. By all accounts, Nestorian Christianity thrived in China for a long period, but Daoism and Confucianism, as well as the underlying folk religions, remained strong.

Answer 2

When Buddhism entered China, there were really three religions, all of which survived and thrived alongside Buddhism: Confucianism, Daoism, and Shenism (which includes Ancestor Worship). Confucianism is the interpersonal behavioral philosophy laid down by Confucius. Daoism is an attempt to balance positive and negative energies as formulated by Lao Tzu. Shenism is Chinese polytheism and worship of divinities, mystical beings (like dragons), and ancestors.