We propose an efficient and polarization-insensitive edge coupler (EC) constructed principally with two cascaded vertical waveguide tapers. The proposed edge coupler only requires ordinary 365 nm (i-line) ultraviolet source for lithography process. We experimentally demonstrate the proposed EC on two kinds of photonic integrated circuit (PIC) platforms: silicon nitride (Si3N4) and lithium niobate thin film. Both achieve polarization-insensitive fiber chip coupling efficiency of >70% in the C-band. Our proposed EC have the advantages of efficient, cost-saving, and easy to implement and could serve as an effective solution to facilitate low-loss chip-fiber coupling.