Isaac mentioned the Elevator Conundrum for tall buildings. Part of the issue today is that every shaft can only carry one elevator.
You could alleviate this with a system of 2 shafts, an 'Up' shaft for multiple ascending elevators, and a 'Down' shaft for all descending ones, going in a loop forever. It would work like a vertical commuter rail.
Then as any shaft got taller, the number of elevators and people it could carry would scale up with it.
BTW it would be yet more efficient if it worked like Personal Rapid Transit.
In this approach, each elevator would move a little sideways out of the main shaft to load and unload people. Then other elevators could pass it non-stop, making every trip potentially an express trip.
I imagine you'd need some sort of vertical electromagnetic rails to run this, rather than the traditional pulleys and hydraulics.