With the rapid development of mobile communication and multimedia services, the bandwidth demand for the next generation access network demonstrates an explosive growth trend. The passive optical network (PON) is a key technology of optical access that provides huge bandwidth resources and long-distance links, but its flexibility is severely limited by optical fiber laying. However, the radio over fiber (RoF) technology can combine wireless access and optical fiber communication to benefit from low loss and high bandwidth, and thus, promote the integration and development of the two. Therefore, making full use of the huge bandwidth provided by optical fiber and the flexible access of wireless communication, the integration of RoF technology and PON can better generate, process, and transmit wired signals and microwave signals to meet people's needs for multi-services. This paper reviews the subsystems and key technologies of converged RoF-PON in recent years. The photon generation technology of microwave signal, RoF system, and next generation-PON (NG-PON2) are also summarized. Furthermore, the paper emphasizes the converged schemes of RoF technology and wavelength division multiplexing-PON (WDM-PON), time/wavelength division multiplexing-PON (TWDM-PON), and orthogonal frequency division-PON (OFDM-PON). The proposed four-channel RoF-WDM-PON and RoF-TWDM-PON system transmission capacity after 20 km of optical fiber transmission is 10 Gbit/s, with a bit error rate of 10^-9. The RoF-WDM-OFDM-PON can realize a downstream system capacity of 50 Gbit/s, 50 km of optical fiber transmission, and passive optical network unit (ONU). Finally, the feasibility, advantages, and disadvantages of these systems are compared and analyzed in terms of transmission distance and bit error rate. In a nutshell, the converged RoF-PON system based on microwave photonics can not only reduce the system cost and provide high bandwidth and multi-services but also effectively improve the capacity and link quality of future access networks.