Persia vs Byzantium:
The zoroastrian Persians and the christian Byzantines fight for the control of the late classical world. (Unaware of a small southern tribe power that will change the route of religion, history and economy.)
The most influencial empire of ancient era vs the legentary Constantinopole's empire.
UU:
Immortal vs cataphract:
less cost, +100% attack against archers vs earlier availability, -1

, +25% vs melee units. Cataphract would won if it had full strength,
immortal wins. This loss in strength make the cataphract more a kind of weakness, that power.
UB:
Apothecary vs hippodrome:
+2

vs +1

, horse instead of dye, double

from %
Hippodrome can be more powerful, so it wins.
UP:
Satrapy vs metropolis:
No unstability from foreign cores vs collapse immunity:
Satrapy gives a stability advantage, so it wins.
1st goal:
Persian empire vs 5000

:
Persian empire wins. Empire building is always worthwhile. Gold aquiring is always dull (with the exception of Mali, which really needs special attention).
2nd goal:
The 7 world wonders vs Constantinopolis:
Wonder building beats the city building.
3rd goal:
Two holy city shrines vs Byzantine empire:
Byzantine empire wins.
Persia: 4
Byzantium: 2
So the
Sassanid dynasty wins.
P.S: The first byzantine goal should be "Control Hagia Sophia."