We have used the Giant Meterwave Radio Telescope ( GMRT ) to measure the Galactic HI 21-cm line absorption towards 102 extragalactic radio continuum sources , located at high ( |b|~ { } > ~ { } 15 ^ { \circ } ) Galactic latitudes . The Declination coverage of the present survey is \delta~ { } > ~ { } \sim~ { } -45 ^ { \circ } . With a mean rms optical depth of \sim 0.003 , this is the most sensitive Galactic HI 21-cm line absorption survey to date . To supplement the absorption data , we have extracted the HI 21-cm line emission profiles towards these 102 lines of sight from the Leiden Dwingeloo Survey of Galactic neutral hydrogen . We have carried out a Gaussian fitting analysis to identify the discrete absorption and emission components in these profiles . In this paper , we present the spectra and the components . A subsequent paper will discuss the interpretation of these results .