Nonacademic rhymes with:
academic, academic, academic, epidemic, academic, demick, endemic, epidemic, pandemic, academic, demick, emick, emmick, endemic, epidemic, glycemic, nemec, pandemic, polemic, remic, remick, systemic
Nonacademic sounds like:
nastiness, nauseating, necessitating, negating, negotiating, negotiations, nesting, nicotine's, nighttimes