Which toxic fumes are typically in car paint?

The can. Read the back of the paint can and look up the individual chemicals or ask the paint company directly.
The paint itself... Depending upon what chemicals are not only in the paint itself; but how the paint is applied to the vehicle...And all are potentially toxic to humans...Especially if inhaled. That is why people who can be potentially exposed to these fumes wear very specific masks/respiratory masks for protection from this.