Two-phase Taylor flow has received considerable attention from researchers in recent decades due to its potential use in a wide variety of industrial and medical applications. A large number of experimental, analytical, and numerical efforts have been taken by researchers to understand the fundamental characteristics of two-phase flows and the relevant transport phenomena. This paper presents a comprehensive review of the hydrodynamics, flow pattern, and liquid film thickness in two-phase flows through mini-and microchannels with different cross-sectional geometry. This paper also reviews correlations that predict liquid film thickness in microchannels for gas-liquid and liquid-liquid flows. The variations of liquid film thickness are plotted over a wide range of capillary numbers for both experimental and computational studies. This study shows that the effects of cross-sectional area on the flow patterns and flow characteristics have not been sufficiently investigated by researchers, particularly for rectangular cross-sectional areas with different aspect ratios.