Class I molecules of the major histocompatibility complex play a vital role in cellular immunity, reporting on the presence of viral or tumor-associated antigens by binding peptide fragments of these proteins and presenting them to cytotoxic T cells at the cell surface. The folding and assembly of class I molecules is assisted by molecular chaperones and folding catalysts that comprise the general ER quality control system which also monitors the integrity of the process, disposing of misfolded class I molecules through ER associated degradation (ERAD). Interwoven with general ER quality control are class I-specific components such as the peptide transporter TAP and the tapasin-ERp57 chaperone complex that supply peptides and monitor their loading onto class I molecules. This ensures that at the cell surface class I molecules will possess mainly optimal peptides with a long half-life. In this review we discuss these processes as well as a number of strategies that viruses have evolved to subvert normal class I assembly within the ER and thereby evade immune recognition by cytotoxic T cells.