Looking at the description for eg
Extraordinary Genius: Individuals whose knowledge spreads
over multiple fields of science and who vastly surpass the real world's upper human limits. At this level, many are capable of creating extremely advanced futuristic technology,
executing complex strategies even under high pressure, outperforming supercomputers,
[1] and
even accurately predicting the future through sheer mental calculations. This is where
super scientists of exceptional scientific knowledge begin to appear.
The three things I bolded would be things to account for in combat. Specifically fields of science in combat would be the way the body functions, the limits of the body, and more commonly styles of combat.
Executing complex strats under high pressure I would look to characters like Minato having to save the village from Kurama, figure out counters to Kamui while knowing whats at stake, setting up numerous kunais in advantageous positions. The war arc overall though for the high tiers at least would be good examples.
Predicting the future would be characters like Aizen though I would say his prediction are more about understanding emotions and behavior still should be fine.
This does bring up the issue though that eg needs to be updated with a more detailed description for how one can obtain it since a lot of characters would fall under it and that ends up devaluing its significance.