I was asked about oil paints the other day. Unfortunately for oil paints, I have only a few products to mention, and not a vast variety.
In 2022, Faber Castell’s Creative Studio oil paints set and Faber Castell’s tempera oil paints were free of animal derivatives.
In September 2023, I received the information that Caran d’Aches’ entire Neopastel line was free of animal derivatives.
Faber Castell Compendium entry