The article provides a comprehensive review of microwave photonics with superconducting quantum circuits (SQCs), highlighting the experimental and theoretical advancements in this emerging field. SQCs, based on Josephson junctions, have become a platform for manipulating microwave photons and have shown promise in various applications, including quantum information processing. The review covers the basic concepts of SQCs, such as qubits and resonators, and discusses the interaction between SQCs and microwave fields, including strong, ultra-strong, and deep-strong coupling regimes. It also explores the unique phenomena that can be observed in SQCs, such as giant Kerr effects, multi-photon processes, and single-atom-induced bistability of microwave photons. The article further delves into waveguide QED, where SQCs interact with a continuum of modes in an open transmission line, and reviews typical phenomena in microwave quantum optics and atomic physics, such as electromagnetically induced transparency, Autler-Townes splitting, lasing, and photon blockade. Additionally, it discusses the generation and detection of microwave photons, as well as the potential applications of SQCs in quantum computing and metamaterials. The review aims to provide a roadmap for the rapidly developing field of microwave photonics with SQCs.The article provides a comprehensive review of microwave photonics with superconducting quantum circuits (SQCs), highlighting the experimental and theoretical advancements in this emerging field. SQCs, based on Josephson junctions, have become a platform for manipulating microwave photons and have shown promise in various applications, including quantum information processing. The review covers the basic concepts of SQCs, such as qubits and resonators, and discusses the interaction between SQCs and microwave fields, including strong, ultra-strong, and deep-strong coupling regimes. It also explores the unique phenomena that can be observed in SQCs, such as giant Kerr effects, multi-photon processes, and single-atom-induced bistability of microwave photons. The article further delves into waveguide QED, where SQCs interact with a continuum of modes in an open transmission line, and reviews typical phenomena in microwave quantum optics and atomic physics, such as electromagnetically induced transparency, Autler-Townes splitting, lasing, and photon blockade. Additionally, it discusses the generation and detection of microwave photons, as well as the potential applications of SQCs in quantum computing and metamaterials. The review aims to provide a roadmap for the rapidly developing field of microwave photonics with SQCs.