This review has summarized and analyzed data from the literature on biological properties, the features of expression, and the clinical development stages of CAR cell products for MM treatment which target BCMA, GPRC5D, FcRH5, SLAMF7, CD38, CD138, TACI, APRIL, CD19, TNFR2, CD44v6, CD70, NKG2D ligands, etc. Special focus is on strategic approaches to overcoming antigenic escape, such as multi-specific CAR constructs, logical activation sequences, and controlled safety systems. This evidence concerns the gene GPRC5D and Miyoshi myopathy.