Provided are recombinant polynucleotides, including expression vectors encoding an alpha chain and/or a beta chain of a TCR having amino acid sequences from any of novel the AL, KQ, PP, 19305CD8, BB, KB, ST, JD, 19305DP, PB-P, PB-T, and PB 13.2 T Cell Receptors (TCRs) that are embodiments of the invention. Cells comprising the polynucleotides are provided, as are libraries of the recombinant polynucleotides and expression vectors. Methods are provided and involve administering to an individual modified human T cells that express a novel recombinant TCR. The methods are for prophylaxis and/or therapy of an individual diagnosed with, suspected of having or at risk for developing or recurrence of a cancer, wherein the cancer includes cancer cells which express NY-ESO-1 and/or its highly homologous LAGE-1 antigen.
