Neuroengineering is the subfield of biomedical engineering. It seems more related to NBIC and Psychology.
Here is the list without institute ranking information:
1.Tianjin Neural Engineering Research Center, TNERC
2.Institute of Neural Engineering, TsingHua University
3.Research Center of Neural Engineering, Shenzheng Institute of Advanced Technology, Chinese Academy of Sciences
4.Wuhan Insitute of Neuroscience & Neuroengineering, South Central University of Nationalities
5.Research Center of Neuroscience & Neuroengineering, Shanghai Jiaotong University Med-X Institute
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East China Normal University also has an institute named nbic.ecnu.edu.cn(only a mail server, but offers a lot).