In eukaryotes, the canonical process of initiating protein synthesis on an mRNA depends on many large protein factors and the modified nucleotide cap on the 5' end of the mRNA. However, certain RNA sequences can bypass the need for these proteins and cap, using an RNA structure-based mechanism called internal initiation of translation. These RNAs are called internal ribosome entry sites (IRESes), and the cap-independent initiation pathway they support is critical for successful infection by many viruses of medical and economic importance. In this review, we briefly describe and compare mechanistic and structural groups of viral IRES RNAs, focusing on those IRESes that are capable of direct ribosome recruitment using specific RNA structures. We then discuss in greater detail some recent advances in our understanding of the intergenic region IRESes of the Dicistroviridae, which use the most streamlined ribosome-recruitment mechanism yet discovered. By combining these findings with knowledge of canonical translation and the behavior of other IRESes, mechanistic models of this RNA structure-based process are emerging.