Disclosed are T-cell receptors (TCRs) binding to tumor-associated antigens (TAAs) for targeting cancer cells, T-cells expressing same, methods for producing same, and methods for treating cancers using same. Disclosed are TCRs and their variants that bind to HLA class I or II molecules with a peptide, such as MAG-003 have the amino acid sequence of KVLEHVVRV (SEQ ID NO:1). The description further relates to peptides, proteins, nucleic acids, cells for use in immunotherapeutic methods, the immunotherapy of cancer, and tumor-associated T-cell peptide epitopes, alone or in combination with other tumor-associated peptides that can for example serve as active pharmaceutical ingredients of vaccine compositions that stimulate anti-tumor immune responses, or to stimulate T-cells ex vivo and transfer into patients. Peptides bound to molecules of the major histocompatibility complex (MHC), or peptides as such, can also be targets of antibodies, soluble T-cell receptors, and other binding molecules.