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Please see The Jataka or Stories of the Buddha's Former Births (at sacred-texts.com), translated by various persons under the editorship of E.B. Cowell.
This translation comes in six volumes and was published between 1895 and 1907.
The introduction states:
The Jataka is a massive collection of Buddhist folklore about previous incarnations of the Buddha, both in human and animal form. Originally written in Pali, and dating to at least 380 BCE, the Jataka includes many stories which have traveled afar. Many of these can be traced cross-culturally in the folklore of many countries.
The Jataka is part of the Khuddaka Nikaya (minor collection) of the Sutta Pitaka (the basket of discourses) of the Pali Canon.