The Titans were now in power, the foundations of the universe we know are set. The dimensional world you and I relate to was now set in motion, and the Titans would now set about pounding greater form and diversity into the cosmos. Allow me to state here that, except for Ge, Nyx, and Eros, the primordial Gods and the Titans (and the Olympians) are all actually the same beings in different aspects. Ouranos became Cronus who would become Zeus, Aether became Hyperion who becomes Helios, etc.
As in most religions, we see our Gods in many ways, and even in latter times when the pantheon of the Olympians was well set and fairly universal (though never quite completely so) we see the Gods often referred to by epithets and surnames that represent their activity in their cosmic work rather than any true name, as you and I may possess.
The names of the Titans are tied to their functions too, but because they were, by the time of Homer and Hesiod, almost forgotten in terms of cult it is hard to really be certain about their functions except where they are obvious.
Oceanus: The Ocean. Oceanus/Okeanos is the predecessor to Poseidon, and in the world view of the mythos, the Okeanos remained as the great stream that surrounded the entire world while Poseidon took over the seas that made contact with the earth. In my view, he is the far more distant and cosmic aspect of the Sea God.
Coeus: Titan god of heavenly prophecy or divination and somehow related to the axis of heaven around which all the constellations revolved.
Crius: Titan god of constellations and leadership. Ram god who, as the constellation Crius, lead the constellations in their annual movements.
Hyperion: Titan god of the Sun. Hyperion actually means above or beyond the light. Watcher from above. Father of the heavenly Eos, the dawn, Selene, the Moon, and Helios, the Sun. Hyperion might also be linked to laying order to the days and months.
Iapetus: Titan god of mortality, wounding, etc. The relationship here is one of death and the future of life on earth which, of course, is mortal, unlike the Gods. I believe Tartarus became Iapetus who became Hades, though the myths use a different paradigm to explain this.
Theia: Goddess. The word seems vague to me, but her associations are with light, sight, and the clear blue skies. She is mother of Selene, Helios, and Eos. She is associated with the earth in her connection to gems and precious metals which she is said to grant their brilliance and shine.
Rhea: Mother of the Gods, goddess of the earth, and wife of Cronus. Of the Titans, Rhea is perhaps the one whose worship and cult remained even well into the Olympian Age. Her Titanic nature softened as mother of the Gods, and her worship was much like that of the other Mother Goddesses of the Eastern Greek world, with ecstatic celebrations that could become frenzied. Kybele, Hekate, and Artemis were also given similar cultus in the Eastern Greek world.
Themis: Titan goddess of natural law, the oracles of the earth, and divine law. She is mother of the Fates and the Horae (seasons). Themis is a goddess whose worship, or recognition, also remained important in Olympian times.
Mnemosyne: Titan goddess of memory, words, language, and inspiration. She was mother of the nine Muses.
Phoebe: Titan goddess of the moon, shining one, goddess of the bright intellect and of the oracle of Delphi. Mother of Leto who would bear Apollo and Artemis to Zeus.
Tethys: Titan goddess of the subterranean waters. She was mother of the rivers and the fresh water nymphs. She was also associated with the nursing of the young.
Cronus: The most infamous of the Titans, father of Zeus, Sky God, and Titan god of the ages and the all devouring aspect of time. Father of the Olympian Gods, he was said to consume them at birth to prevent them from ever overthrowing him. Zeus eventually overthrows him.
The actual function of the titans as listed above is actually a bit controversial, and with the exception of Hyperion, Rhea, and Cronus, they can all be disputed in some ways. The myths give us clues, however, and so others better capable than me have given them the functions above, and I tend to agree from a distinctly UPG standpoint. I see in them, again, a metamorphosis of the divine powers from the more primordial, and somewhat diffuse forms to more refined yet highly earth shaking forms.
The Titans are not subtle, they are vast and powerful creatures who shake the earth as they mold it into being. The Gods in their primordial forms are the Gods in their creative aspects, the Titanic aspects are the shaping aspects, they have brought the clay into being and are now molding it into beautiful pottery. Next comes the Olympian Order, the gods in their divine aspects, their most distant aspects. The Cosmos is created and molded, and it continues to evolve, but now that creation moves lower and lower on the scale, and life comes into play. Life that both needs the Gods, and requires its independence to thrive.
The Myths of the Olympians depict a new metamorphosis, and in them we see the Gods separate themselves from us, and so we move on to them.
