Andrew's rhymes with:
andrews, andrews', macandrews, mcandrews, andrews, andrews', macandrews, mcandrews, andrews, andrews', macandrews, mcandrews
Andrew's sounds like:
amateurish, amateurs, ammeters, amtrack, amtrak, amtrak's, anadarko, anadarko's, anderegg, anders, andoras, andraki, andras, andrea's, andreas, andrej, andreozzi, andres, andreski, andress, andrews, andrews', andrezak, andric, andrich, andrick, andries, andros, andrus, andrzej, andrzejewski, animators, another's, antar's, antares, anteaters, anthrax, antidrug