A full tower would allow for more components and potentially a greater amount of cooling. However, a mid tower is usually plenty for the average person. For instance, this has been a very popular case for years:
Unless you actually need all the extra drive bays, possible extra fan mounts or interior space to mount stuff like phase-change compressor or custom water loop components, full-tower is not worth the trouble.
With most cables and accessories today designed around mid-tower dimensions, you might run into surprises trying to fit 'standard' accessories in a full tower.