Our proposed new meta-GGA density functional approximations show quite an accurate performance for solids and applicable for various challenging problems. See the references:
https://pubs.acs.org/doi/abs/10.1021/acs.jpcc.0c11380
https://iopscience.iop.org/article/10.1088/1367-2630/abfd4d/meta
https://arxiv.org/pdf/2112.09022.pdf
If you are interested in this methods and want to be use for solids please contact me !!