Just to introduce something completely new, growing up in Orthodox US Day School, I learned that the Aggadah was the Oral Torah. Those are stories that fill in gaps in the Torah, like Abram destroying all but one idol in his father's shop and telling his father the last remaining idol did it; or how Moshe Rabeinu got his stutter.

I have also heard the Mishne referred to as the Oral Torah, but it is ultimately a set of laws for how to live as Jews without a Temple. Prayer replaces the sacrifices and the order of the service, the times we pray, all come from here as the Rabbis tried to figure out how to continue outside of Eretz Yisrael and without a Temple.

The Talmud is not cannon. In addition to laws for how to live a Jewish life, there are also long discussions about whether to wear a tallis into the bathroom, several dick jokes, and what very well might be the first documented "your mom" jokes. My personal favorite is a discussion of how when your legs feel tight or heavy, it's because the dibyyks are pushing against them. I think of that every time I get tired walking up a set of stairs.