Catherine ("Catherine's heart has to be conquered. You will have to prove your might to her by...")
a) Take control of the worlds most important resources: Control 4 aluminum, 6 uranium and 10 oil resources (control = have inside your borders and connected to your trade network)
b) Prove your might with a military parade in her honor (have the following units in her capital at the same time: 12 armored units, 4 air units and 12 gunpowder units, commanded by a general (unconnected))
c) Be the first to get a serious Space Program running (be the first to complete Apollo Program and build three parts of the spaceship, your choice)