We report the realization of a multiple, broadband, magnetoelectric (ME) response using Ni/[011]-Pb(Mg1/3Nb2/3)O3-Pb(Zr,Ti)O3 (PMN-PZT) single crystal/Ni laminates that take advantage of the multiple mechanical resonances inherent to laminates with anisotropic piezoelectric properties. The ME voltage coefficient of the laminates showed three distinct resonance frequencies and large in-plane anisotropy in its sign and magnitude owing to the anisotropic planar piezoelectric coefficient of [011]-oriented PMN-PZT single crystals. Upon serially connecting three such laminates with different thickness ratios between the Ni and PMN-PZT layers, we observed two distinct frequency windows with bandwidths of ∼60 kHz showing flat, giant ME responses of over 16 V/cm Oe, which suggests that these ME laminates are good candidates for application in broadband field sensors or energy harvesters.