Part 5 of the series Magnetic Field Assisted Fluidization is devoted to liquid-solid fluidized beds. The article is a systematic analysis of this branch of magnetically controlled fluidization that is, in fact, the first review since the publication of Kirko and Filippov in 1960. Unified approach developed in the previous parts of the series does permit establishment of a clear point of view on the current state and definition of future problems. Meta-analyses of data extracted from original sources in forms not published previously were done parallel to scaling and dimensional analysis. A systematization of some dimensionless groups emerging in the studies is performed together with a proposal with named dimensionless numbers as appreciation of the contribution of eminent scientists. A comprehensive analysis of scaling problems emerging in the use of the Richardson-Zaki equation in case of magnetically charged particles is developed. All these issues make Part 5 a comprehensive review thoroughly investigating one undeveloped, but with a great potential, branch of magnetic field assisted fluidization.