We have numerically investigated the optical transport properties of one-dimensional plasma photonic crystals with varying layers shapes from rectangular to semi-sinusoidal ones. We do this crossover by a parameter Ld in the plasma electron density profile. We study the effects of various parameters such as plasma collision frequency, number of layers, total system length, plasma electron density and incident angle of the electromagnetic wave on the absorption and transmission coefficients of this system. We found that this system has narrow omnidirectional, omni-Ld, omni-(number of layers), and omni-(total system length) bandgaps which seems exotic. However, the position of these bandgaps can be tuned by changing other parameters of the system. The absorption edge of the system also redshifts by increasing the number of walleyes. Finally, high tunability of this system can help experimentalists to more easily fabricate their desired optical devices.