China is huge, but it has some strong factors that bond it into unity. One thing that bonds common people and high government officials alike is the amalgamation of traditions, myths, and culture that is Chinese Folk religion. It’s hard to pin a finger on what is Chinese Folk Religion, as the practices are so diverse from province to province and village to village. In each of its diverse manifestations, institutional and ritual behavior are highly organized.
Along with an overlying belief in a natural order, worship is devoted to a multiplicity of gods and immortals, who can be deities of phenomena or of human behavior, ancestors, and natural forces. Taking historic influences from Buddhism and Taoism, here is a common core of 6 theological, cosmological, and moral concepts within Chinese Folk Religion:
Tian: Heaven, the transcendent source of moral meaning.
Qi: The breath or energy that animates the universe
Jingzu: The veneration of ancestors
Bao Ying: moral reciprocity
Ming Yun: personal destiny
Yuan Fen: fateful coincidence
Most westerners have also heard about Yin and Yang, the polarity that describes the order of the universe. The sacred medium of the two states on Yin (“receptiveness”) and Yang (“act”) is also thought of as the order of creation, “Ling”. 
A Way of Community
Unlike Western religions in which the religion and its organizational structure, a “church”, is separate from civic life, Chinese Folk religion pervades all aspects of social life and is deeply embedded in family.Chinese religion also does not require “conversion” for participation. It’s not about “believing” in a certain doctrine or dogma, but rather “belonging” to a local unit, “associtation, village, or kinship” with their gods and rituals. 
After the fall of the Chinese empire in 1911, Chinese Folk Religion was eradicated and undermined by the government and elites, which fragmented and thinned its followers. However the late 20th and 21st centuries are seeing a revival of these religions in mainland China and Taiwan. 
Confucianism and Taoism
While these more concrete and familiar belief systems are considered a part of Chinese Folk Religion, some may distinguish them as “folk religion” compared to others tenets being “folk beliefs”.  Still, they may also be called a system of philosophical and “ethical socio-political teachings”. 
The Chinese philosopher Confucius lived 551-479 BCE
Confucian theology instructs to uphold the moral order through the worship of gods and ancestors. The core of Confucianism is humanistic, regarding ordinary human activities and relationships as sacred. Its core revolves around unifying the self with “Tian” which can loosely be translated to Heaven or God, though it is non-theistic.
This might be compared with the Tao in Taoism: the natural flow and cosmic structure of the Universe. Heavily influenced by the I Ching (the oldest Chinese classic) it diverged from Confucianism by scorning rigid rituals and social classes  and now uses the Tao Te Ching by Laozi as its keystone work. Taoism emphasizes detachment from desires, simplicity, and Wu Wei: action through inaction. The goal of a Toaist is to align themselves with a natural way of being, as effortless as the planets revolving around the sun.
- Facts and Details: a page similar to this one but with more depth.
- Mazuism: Some quick facts about one widely accepted goddess in Chinese culture.
- Chinese Religion: An Overview: an in-depth historical report on religion in China
- F&D Taoism
- BBC on Taoism: A well-constructed online look at Taoism
- tao.org: website for the Center of Traditional Taoist Studies
A core Chinese classic, covering 722 to 481 BCE, it shows an overall history, including the use of ritual, sacrifice, celestial events, etc, and how they all played together.
- Chinese Religion: A quick and simplified overview of only 15 minutes.
- Lecture by Dr. Graeme Lang: An old but very interesting personal look into Chinese folk religion by a university professor in the 80’s. This is a video lecture for one of his university courses. ~23 minutes
- Taoism in Brief: 25 minutes, a video by the Institute of Taoism that also shares info on Tai Chi and contains video footage of ceremonies.
- Taoism: A Quest of Balance: a 1977 documentary about Taoism, also touching on Confucianism, folk religion, and Buddhism in China. ~52 minutes.
- Confucianism with Andrea Scardina: A 40-minute youtube lecture about Confucianism and a great presentation, designed for university students. She also has videos on many other religions
- School of Life: Confucius: a 5-minute video about Confucius’s main social ethics and what they could teach us today.
- Taiwan, the Most Confucian Nation?: A Taiwanese tourism and culture video about how Confucianism has translated to kindness and order in modern Taiwan
- Chinese Confucianism, Past and Present: Harvard provost Peter K Bol gives a fascinating academic lecture on Confucianism and its modern implications for China. ~50 minutes total, with the last 10 minutes as question/answer.
- Thien Do, 2003, pp. 10-11
- Fan, Chen 2013. p. 4
- Fan, Chen 2013. p. 5
- Adam Yuet Chau. The Policy of Legitimation and the Revival of Popular Religion in Shaanbei, North-Central China.Modern China. 31.2, 2005. pp. 236-278
- Yang, Fenggang; Hu, Anning (2012). “Mapping Chinese Folk Religion in Mainland China and Taiwan”. Journal for the Scientific Study of Religion.
- Yong Chen (8 November 2012). Confucianism as Religion: Controversies and Consequences. BRILL. p. 9
- Pollard;Rosenberg;Tignor, Elizabeth;Clifford;Robert (2011). Worlds together Worlds Apart. New York, New York: Norton. p. 164