U+4E00..U+9FFF is part of the complete set,but not all
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: