Low luminosity active galactic nuclei (LLAGN) probe accretion physics in the low Eddington regime can provide additional clues about galaxy evolution. AGN variability is ubiquitous and thus provides a reliable tool for finding AGN. We analyze the All-Sky Automated Survey for SuperNovae light curves of 1218 galaxies with g<14mag and Sloan Digital Sky Survey spectra in search of AGN. We find 37 objects that are both variable and have AGN-like structure functions, which is about 3% of the sample. The majority of the variability selected AGN are LLAGN with Eddington ratios ranging from 10^-4^ to 10^-2^. We thus estimate the fraction of LLAGN in the population of galaxies as 2% down to a median Eddington ratio of 2x10^-3^. Combining the BPT line ratio AGN diagnostics and the broad-line AGN, up to ~60% of the AGN candidates are confirmed spectroscopically. The BPT diagnostics also classified 10%-30% of the candidates as star-forming galaxies rather than AGN.