You probably want a neutral oil for salad dressings, or mayonnaise. You want a high smoke point for any frying(deep, shallow, or stir) you'll do. Every grocery store I've been in has peanut, canola, or avocado, which will all do.

This is a difference in semantic understanding I think. When I hear "you don't need a special oil" I understand that to mean "any oil will do", which isn't really the case.