We construct five new fractal traffic models based on the unified framework of Fractal Point processes (FPPs), and analyze their asymptotic statistical properties. Two of them are On-Off types, suitable for characterizing an aggregate fractal traffic source. The other three provide a structure suitable for flow modeling, allowing for gaining a quantitative understanding of how application- or flow-level fractal dynamics (such as user activity, session/flow arrivals, duration, and volume distributions) affect packet-level fractal dynamics. Such a structure, together with analytic results obtained in this work, opens an entirely new horizon that enables us to explain the causes and origins of complex multiple-time-scale behaviors of packet-level dynamics in a quantitative manner, i.e., multi-fractal patterns over minor scales and mono-fractal behavior over large time scales. Consequently, they provide network traffic engineering researchers and practitioners with practical and flexible tools for analyzing, devising and performing various traffic-engineering studies. All of the FPPs are implemented in OPNET as IP-routable traffic generators.