This chapter examines aperiodic vibrational resonance induced by an aperiodic binary signal across various nonlinear models. We analyze this phenomenon in both ordinary differential systems with diverse potential functions and in fractional differential systems. Aperiodic vibrational resonance exhibits distinct properties within overdamped symmetric bistable systems, underdamped bistable systems, asymmetric bistable systems, monostable systems, and fractional differential systems. Additionally, the influence of noise on aperiodic vibrational resonance is discussed in detail.