The different types of animals that were commandment for korbanot-sacrifice- were:
1. The ox
2. The sheep
3. The goat
Of the 10 kosher animals, these 3 were chosen because Hashem did not want the Jews to extend extra effort and go hunting in the wilderness to capture animals to sacrifice, rather, He wanted the Jews to have animals that were always accessible to them; hence, these 3 listed animals are all domesticated animals that are raised in one’s stables.
Interestingly enough, the 3 animals Hashem commanded us to use as sacrifices are animals that are prayed on by other animals: the ox is prayed by the lion, the sheep is prayed by the wolf, and the goat is attacked by the panther. From this, Hashem is portraying that He sides with the underdog, not the attacker.