This is a Phase 1, open label, multicenter, multiple ascending dose trial of IDC-G305 administered by intramuscular injection in a 3+3 sequential dose escalation design. IDC-G305 is an immunotherapy consisting of recombinant NY-ESO-1 antigen and the adjuvant, GLA-SE. Patients with unresectable, relapsed or metastatic cancer but with low disease burden and indolent disease course may be considered for the trial. Tumors must express the NY-ESO-1 gene signature and tumor types that will be studied are: melanoma, ovarian, sarcoma,non-small cell lung and breast cancer.