Here is a listing of the Chinese editions of LOTR which I've found that were published in 2024 after the copyright ran out in the fall of 2023. These may not be all of them, so let me know what I missed. (I'm not adept at coding, so I want to thank Urulókë for interlacing the text with the images.)

I should note that the bibliography program that I use (Zotero) doesn't do Chinese name order (family name/personal name) correctly so they come out here in English name order (personal name/family name).

Traditional Characters:

Chinese-Traditional-B-A.jpg
Tolkien, J.R.R. 魔戒. Translated by Han Li. Vol. 1, 魔戒同盟. Shuangxi Publishing, 2024. 978-626-97933-5-8
———. 魔戒. Translated by Han Li. Vol. 2, 雙塔叛謀. Shuangxi Publishing, 2024. 978-626-97933-6-5
———. 魔戒. Translated by Han Li. Vol. 3, 王者歸來. Shuangxi Publishing, 2024. 978-626-97933-7-2



Simplified Characters:

Chinese-Simplified-E.jpg
Tolkien, J.R.R. 魔戒. Translated by Xueheng Zhu. Vol. 1, 魔戒现身. Shanghai Translation Publishing House, 2024. 978-7-5327-9321-1 (all three)
———. 魔戒. Translated by Xueheng Zhu. Vol. 2, 双城奇谋. Shanghai Translation Publishing House, 2024.
———. 魔戒. Translated by Xueheng Zhu. Vol. 3, 王者再临. Shanghai Translation Publishing House, 2024.

Chinese-Simplified-F.jpg
Tolkien, J.R.R. 魔戒. Translated by Weihua Tian. Vol. 1, 护戒使者. Zhejiang People’s Publishing House, 2024. 978-7-213-11320-8 (all three)
———. 魔戒. Translated by Weihua Tian. Vol. 2, 双塔奇兵. Zhejiang People’s Publishing House, 2024.
———. 魔戒. Translated by Weihua Tian. Vol. 3, 王者归来. Zhejiang People’s Publishing House, 2024.

Chinese-Simplified-G-A.jpg
Tolkien, J.R.R. 魔戒. Translated by Jinhua Wang. Vol. 1, 魔戒传奇. Democracy and Construction Press, 2024. 978-7-5139-4574-5 (all three)
———. 魔戒. Translated by Jinhua Wang. Vol. 2, 双塔奇谋. Democracy and Construction Press, 2024.
———. 魔戒. Translated by Jinhua Wang. Vol. 3, 王者无双. Democracy and Construction Press, 2024.

Chinese-Simplified-J.jpg
Tolkien, J.R.R. 魔戒. Translated by Ding Di. Vol. 2, 魔戒再现. Nanfang Publishing House, 2024. 978-7-5501-8929-4 (all four, including Hobbit)
———. 魔戒. Translated by Jinrong Yao. Vol. 3, 双塔奇兵. Nanfang Publishing House, 2024.
———. 魔戒. Translated by Dingjiu Tang. Vol. 4, 王者无敌. Nanfang Publishing House, 2024.
(Volume 1 is The Hobbit)

Chinese-Simplified-K-A-1.jpg
Chinese-Simplified-K-A-2.jpg
Tolkien, J.R.R. 魔戒. Translated by Jiawan Deng. Vol. 1. Horizon, 2024. 978-7-208-18336-0 (all seven, including Appendices)
———. 魔戒. Translated by Jiawan Deng. Vol. 2. Horizon, 2024.
———. 魔戒. Translated by Jiawan Deng. Vol. 3. Horizon, 2024.
———. 魔戒. Translated by Jiawan Deng. Vol. 4. Horizon, 2024.
———. 魔戒. Translated by Jiawan Deng. Vol. 5. Horizon, 2024.
———. 魔戒. Translated by Jiawan Deng. Vol. 6. Horizon, 2024.
(The Appendices are in a separate volume labelled "A")

Chinese-Simplified-L-A.jpg
Tolkien, J.R.R. 魔戒. Translated by Yong Yan. Vol. 1, 魔戒同盟. People’s Literature Publishing House, 2024. 978-7-02-018431-6 (all three)
———. 魔戒. Translated by Hongjuan Xin. Vol. 2, 黑白双塔. People’s Literature Publishing House, 2024.
———. 魔戒. Translated by Danjun Lu. Vol. 3, 王者归来. People’s Literature Publishing House, 2024.

I was able to procure all of these through temu.com, superbuy.com, or China Global Mall.

9 December EDIT: zionius pointed out that I was missing two. I have procured them and they are added later in this thread.