In exercise and cognition research, few studies have investigated whether and how the qualitative aspects of physical exercise may impact cognitive performance in the short or long term. This commentary, after recalling the evidence on the "dose-response" relationship, shifts the focus to intersections between different research areas that are proposed to shed light on how qualitative exercise characteristics can be used to obtain cognitive benefits. As concerns the acute exercise area, this commentary highlights the applied relevance of developmental and aging studies investigating the effects of exercise bouts differing in movement task complexity and cognitive demands. As regards the chronic exercise area, potential links to research on cognitive expertise in sport, functional ability in aging, and life skills training during development are discussed. "Gross-motor cognitive training" is proposed as a key concept with relevant implications for intervention strategies in childhood and older adulthood.