  Myers shows that every compact, connected, orientable $3$--manifold with no
$2$--sphere boundary components contains a hyperbolic knot. We use work of
Ikeda with an observation of Adams-Reid to show that every $3$--manifold
subject to the above conditions contains a hyperbolic knot which admits a
non-trivial non-hyperbolic surgery, a toroidal surgery in particular. We
conclude with a question and a conjecture about reducible surgeries.
