Since the Bree diagram was proposed by Bree in the 1960s, it has become an important tool for assessing the plastic behavior of pressure vessels under cyclic thermo-mechanical loads. With the increasing complexity of engineering applications and the development of finite element tools, many scholars have revisited the Bree problem, committed to reducing the impact of assumptions made at the time of publication. At present the research on the modification and extension of the Bree diagram has been deepening continuously. This paper mainly reviews the current progress on the modified Bree diagram and related studies considering creep. At the same time, the structural applicability of TEST B-1 in the ASME standard is discussed through the common types of pipes in nuclear reactor models. The results show that TEST B-1 is applicable to some non-thin-walled cylindrical parts. Finally, it is hoped that the relevant results and discussions can provide valuable references for the further modification of the Bree diagram and the development of thermal ratcheting issues.