What is state of nations?
For this answer I was assuming more city states then huge empires. With tech level pre-1700 post iron. I make this assumption based upon question discussing walls. Walls for cities in post industrial with accurate large guns are not worth it.
What will cities need to defend against?
Capturing of cities is key to hold territory.
This means cities will be put to siege.
Cities will face opposing Air units. So cities swill need to be able to defend against air attacks.
Walls for ground siege:
Walls are required to increase capture cost. Therefor tall thick walls will still be present. Given that the attackers can have air force, they will bring an air force. Presumably enough air force to overwhelm the defenders.
But the bulk of any siege will be ground based because ground is cheaper then air. Also supply trains. Air units can't fly all their food, munitions, shelter, etc for months long campaigns.
Gryphons as sole attackers
No doubt a raiding force of gryphon could capture a city. But how large is that force and how expensive is it to maintain that force? On the ground a gryphon rider then is not much better then any other ground unit. That is, gryphon units alone do not make resilient army.
Gryphons will be an extremely high priority for defending ranged. With limited weight capacity gryphons will never have heavy armor while flying. So they will always be vulnerable to ranged opponents.
Towers to slow air attacks:
Since city spanning domes would be difficult to impossible to build. Towers would be the next best defense against airborne units attempting to infiltrate to capture key buildings such as gate houses. This would also to a limited degree protect against harassing air raids.
Multiple tall towers spread out to allow multiple towers being able to target airborne attackers, and to have some defense in depth as towers are captured. These will not prevent aerial bombardment but a tall tower means that attacking bombers have to fly higher, which will take more effort, reduce time between attacks.
Landing pads:
Would be near and below towers so that they have covering fire both to protect defenders and to prevent attackers from having easy to use welcome mats. Due to speed of travel once in the air, minimal landing spots near the walls would exist, since they would likely be more useful to attackers then defenders.
Gryphon stables:
Presumably defenders on duty would have stables that were positioned fairly high so that there is less effort to gain height for defense or attack. While buik of the gryphon stables would be closer to ground level due to cheaper construction.
There would still significant ground mounts due to differing costs and tradeoffs.
Trade
For certain routes/tasks gryphons would be the go to transport.
Messengers for military or larger businesses would use gryphon transport for time sensitive informaiton and or lighter high value goods.
So in larger cities it would be likely for security reasons there would be the royal tower, multiple guard towers and then a few business/guild towers. All visitors must go to specific marked towers. Similar to inspections of people entering gates on foot.