Actually, these days most AAA games require a 64 bit OS, the lists posted above are from forum threads from 2014, back when the PS4 and Xbox One only recently released. With the new console generation, most big publishers dropped 32 bit support due to the memory restrictions that came with it. If you're running 32 bit Windows, you're pretty much stuck with 2013 and earlier for most big budget games. Most indie titles will still run on 32 bit.