Robert, here are some examples of branch circuit wiring types.

Non-Metallic sheathed (Romex)
BX cable or also known as armored cable (flexible conduit)
Knob-and-tube
Single strand copper installed in metal conduit.

Types of wiring include.
Copper, Aluminum, Copper clad aluminum, Solder dipper copper, Copper multi-strand, Aluminum multi-strand