This study aims to identify the best-performing site characterization proxy alternative and complementary to the conventional 30 m average shear-wave velocity 𝑉 , as well as the optimal combination of proxies in characterizing linear site response. Investigated proxies include 𝑇 (site fundamental period obtained from earthquake horizontal-to-vertical spectral ratios), 𝑉 (measured average shear-wave velocities to depth 𝑧, 𝑧 = 5, 10, 20 and 30 m), 𝑍 . and 𝑍 . (measured site depths to layers having shear-wave velocity 0.8 and 1.0 km/s, respectively), as well as 𝑍 (inferred site depths from a regional velocity model, 𝑥 = 0.8 and 1.0, 1.5 and 2.5 km/s). To evaluate the performance of a site proxy or a combination, a total of 1840 surface-borehole recordings is selected from KiK-net database. Site amplifications are derived using surface-to-borehole response-, Fourier-and cross-spectral ratio techniques and then are compared across approaches. Next, the efficacies of 7 single-proxies and 11 proxy-pairs are quantified based on the site-to-site standard deviation of amplification residuals of observation about prediction using the proxy or the pair. Our results show that 𝑇 is the best-performing single-proxy among 𝑇 , 𝑍 . , 𝑍 . and 𝑉 . Meanwhile, 𝑇 is also the best-performing proxy among 𝑇 , 𝑍 . , 𝑍 . and 𝑍 complementary to 𝑉 in accounting for the residual amplification after 𝑉 -correction. Besides, 𝑇 alone can capture most of the site effects and should be utilized as the primary site indicator. Though (𝑇 , 𝑉 ) is the best-performing proxy pair among (𝑉 , 𝑇 ), (𝑉 , 𝑍 . ), (𝑉 , 𝑍 . ), (𝑉 , 𝑍) and (𝑇 , 𝑉 ), it is only slightly better than (T0, 𝑉 ). Considering both efficacy and engineering utility, the combination of 𝑇 (primary) and 𝑉 (secondary) is recommended. Further study is needed to test the performances of various proxies on sites in deep sedimentary basins.