Bastet, the daughter and/or wife of the Sun god, became a national deity of Egypt in about 950 BC. She represents gladness, good fortune, music, dancing, healing, good motherhood, also protection by perfumes. Bast expresses qualities of the cat family, beauty of movement, caution and so on. Her major symbol is the sistrum, an ancient Egyptian percussion instrument. Also: the Uraeus, or Serpent of Wisdom. She also holds the ankh, a sistrum (musical instrument), or a papyrus wand.
Cats, her sacred animals, were highly regarded in ancient Egypt. They also protected the grain from mice and rats. Families owning cats took care that they got due attention and respect. Killing a cat was punished with death.
In some myths a "Top hog" is God. In classical Hindu mythology God Vishnu (a Preserver) descended into animal form to do his work:
Vishnu saw it fit to change into a seducing woman too, on some occasion.
Be that as it may, Hindus reckon with ten avatars (descents) of Vishnu, including these four first ones. Apart from this they also think of partial avatars, and then there are those persons who express divine qualities - Hindus call some of them avatars for that reason. Thus we have titles like "premavatar" (love-incarnation, i.e., divine love descended into flesh), "jnanavatar" (wisdom-incarnation, i.e., divine wisdom descended into flesh), and so on.
Gods represented: animals
Have you ever seen an elephant ride on a mouse? Imaginative ability is called for, presumably. There is much imaginative prowess of Hindu portrayal. Thus, when Hindu gods are portrayed as having one or more vehicles, it represents something to ponder for those who care.
In a world where old gods are all around you, they could sit on or ride on some of the creatures you see all around too . . . and "rise to the occasion".
Below is a very sketchy briefing of relationships, as the iconology of Hinduism is an intricate matter. The "Who is an animal of whom" in Hindu Mythology:
Such energies are dormant or present in man too. They are wild, animal energies. Compare:
Pekka and Taivonen visited Berlin during the Second World War. After a drinking spree till late at night they barely reached their hotel. In the night Berlin was bombed. Next day, when Taivonen woke up, he looked out of the window and turned terror-stricken to Pekka, saying,
An Example, the Supreme Swan
The swan in the list, Hamsa, represents divine attainment. Hamsa is made up of components that are translatable into "I am Me (He)", which at best is a facet of enlightenment. The Ramakrishna Society has found it fit to use the swan in the middle of their icon for that reason. Hamsa is for attunement with God the Creator - the master of all the beauty and grace in the world. In mythology it is also held that the swan can separate milk from water - hence discriminative activities originate on high, according to yoga too.
Here the swan is explained as a vehicle Godwards. An ancient yoga technique uses a word sound like "hamsa" for diving inwards: [Link]