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We present X-ray spectral analyses for three Seyfert 2 active galacticnuclei, NGC 424, NGC 1320, and IC 2560, observed by NuSTAR in the 3-79 keVband. The high quality hard X-ray spectra allow detailed modeling of theCompton reflection component for the first time in these sources. Usingquasi-simultaneous NuSTAR and Swift/XRT data, as well as archival XMM-Newtondata, we find that all three nuclei are obscured by Compton-thick material withcolumn densities in excess of ~5 x $10^{24}$ cm$^{-2}$, and that their X-rayspectra above 3 keV are dominated by reflection of the intrinsic continuum onCompton-thick material. Due to the very high obscuration, absorbed intrinsiccontinuum components are not formally required by the data in any of thesources. We constrain the intrinsic photon indices and the column density ofthe reflecting medium through the shape of the reflection spectra. Usingarchival multi-wavelength data we recover the intrinsic X-ray luminositiesconsistent with the broadband spectral energy distributions. Our results areconsistent with the reflecting medium being an edge-on clumpy torus with arelatively large global covering factor and overall reflection efficiency ofthe order of 1%. Given the unambiguous confirmation of the Compton-thick natureof the sources, we investigate whether similar sources are likely to be missedby commonly used selection criteria for Compton-thick AGN, and explore thepossibility of finding their high-redshift counterparts.

The NuSTAR View of Nearby Compton-thick AGN: The Cases of NGC 424, NGC 1320 and IC 2560