Adhesion behaviors of droplets on surfaces attract more and more attentions due to their various applications. Bioinspired superhydrophobic surface with different adhesion states have been abundantly constructed, in order to mimic the functions of natural surfaces such as lotus leaf, rose petal, butterfly wings and so on. In this review, first, a brief introduction to the fundamental theories of adhesion behaviors of droplets on various surfaces, including low-adhesion, high-adhesion and anisotropic adhesion states is presented, then different techniques to characterize the droplet adhesion on these surfaces including rotating disk, AFM cantilever, and capillary sensor-based techniques are described. The wetting behaviors and the switching between different adhesion states on the bioinspired surfaces are also summarized and discussed. Subsequently, diverse applications of bioinspired surfaces, including water collection, liquid transport, drag reduction, oil/water separation, and so on, are then discussed. In the end, the challenges using liquid adhesion behaviors on various surfaces and future applications of these surfaces are prospected.