What’s the complete range for Chinese characters in Unicode?

May be you would find a complete list through the CJK Unicode FAQ (which does include “Chinese, Japanese, and Korean” characters)

The “East Asian Script” document does mention:

Blocks Containing Han Ideographs

Han ideographic characters are found in five main blocks of the Unicode Standard, as
shown in Table 12-2

Table 12-2. Blocks Containing Han Ideographs

Block                                   Range       Comment
CJK Unified Ideographs                  4E00-9FFF   Common
CJK Unified Ideographs Extension A      3400-4DBF   Rare
CJK Unified Ideographs Extension B      20000-2A6DF Rare, historic
CJK Unified Ideographs Extension C      2A700–2B73F Rare, historic
CJK Unified Ideographs Extension D      2B740–2B81F Uncommon, some in current use
CJK Unified Ideographs Extension E      2B820–2CEAF Rare, historic
CJK Compatibility Ideographs            F900-FAFF   Duplicates, unifiable variants, corporate characters
CJK Compatibility Ideographs Supplement 2F800-2FA1F Unifiable variants

Note: the block ranges can evolve over time: latest is in CJK Unified Ideographs.

See also Wikipedia:

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