In the work A brief introduction to Kodaira dimension and Iitaka Conjecture by Emanuele Ronda, we define the concept of Kodaira dimension and state the Iitaka Conjecture Cn,m. We therefore prove some results on the Kodaira dimension and study, at different levels of detail, three, already known, instances of the Conjecture; namely: i Cn,1 for base curves of general type and fibres of positive geometric genus; ii C2,1; iii Cn,m for base spaces of maximal Albanese dimension.