The Moving Particle Semi-implicit (MPS) method is one of the particle methods in which continuum mechanics is analyzed using the concept of particles. Since meshes are not used, large deformation of free surfaces and material interfaces can be simulated without the problems of mesh distortion. Thus, the MPS method has been applied to multiphase flow analysis in nuclear engineering. The advantages of the particle methods are also useful for applications in other engineering fields: ship engineering, civil engineering, microflow, biomechanics, visualization, etc. In this review, calculation examples are described and classified. Commercial codes have been released and applied in industries. The particle methods are also used in TV programs, movies, and computer games. Combinations of numerical techniques for multiphysics problems, fast calculations, and high-quality visualizations are expected to lead to real-time particle simulations for various new applications in the near future.