The strongest spectroscopic dust extinction feature in the Milky Way, the broad absorption bump at 2175 AA, is generally believed to be caused by aromatic carbonaceous materials -- very likely a mixture of Polycyclic Aromatic Hydrocarbon (PAH) molecules, the most abundant and widespread organic molecules in the Milky Way galaxy. In this paper we report identifications of this absorption feature in three galaxies at $1.4 lesssim z lesssim 1.5$ which produce intervening MgII absorption toward quasars discovered by the Sloan Digital Sky Survey (SDSS). The observed spectra can be fit using Galactic-type extinction laws, characterized by parameters [R_V, E(B-V)] ~ [0.7, 0.14], [1.9, 0.13], and [5.5, 0.23], respectively, where R_V=A_V/E(B-V) is the total-to-selective extinction ratio, E(B-V) = A_B-A_V is the color-excess. These discoveries imply that the dust in these distant quasar absorption systems is similar in composition to that of Milky Way, but with a range of different grain size distributions. The presence of complex aromatic hydrocarbon molecules in such distant galaxies is important for both astrophysical and astrobiological investigations.