DNA replication and RNA transcription processes compete for the same DNA template and, thus, frequently collide. These transcription–replication collisions are thought to lead to genomic instability, which places a selective pressure on organisms to avoid them. Here, we review the predisposing causes, molecular mechanisms, and downstream consequences of transcription–replication collisions (TRCs) with a strong emphasis on prokaryotic model systems, before contrasting prokaryotic findings with cases in eukaryotic systems. Current research points to genomic structure as the primary determinant of steady‐state TRC levels and RNA polymerase regulation as the primary inducer of excess TRCs. We review the proposed mechanisms of TRC‐induced DNA damage, attempting to clarify their mechanistic requirements. Finally, we discuss what drives genomes to select against TRCs.