The present status and future problems of numerical analysis on two-phase flow dynamics were investigated in the Working Group of Two-Phase Flow in the Special Committee on Advanced Numerical Analysis of Thermal Hydraulics, AESJ. It is clarified from the study that the present technology of numerical analysis still has many problems to be solved through further investigations. Then, phenomena of difficulty in analyzing numerically have been picked up. It is made clear the phenomena may be classified into three categories; (1) related to flow condition, (2) related to thermal non-equilibrium state, and (3) related to numerical method. Many researchers require common problems for the further investigations. Therefore, the benchmark problems have been selected based on these categories.In the Working Group, benchmark problems related to (1) and (2) and selected in the previous paper have been reconsidered and selected additionally. Furthermore, benchmark problems concerning (3) have been selected. Summaries of these benchmark problems authorized by many researchers are presented in this paper.