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Depends what software you are using and what package they we're originally created in. Are they UV mapped? If they are you need to download the texture files and sometime(not always) plug them in manually! fbx and obj are universal model file formats across 3D platforms to a point. Materials are usually embedded in an .fbx and for obj the mtl. file has the materials. You don't usually need to turn anything one when importing. If they are not UV mapped then as a general rule materials in one software don't translate to another. A model that has been created in Blender with regular materials (not UV mapped) won't usually work in Max or Cinema.
