Can, may, must, shall, will, ought to, need, be to, have to, would, should, used to;
CAN
Ability, doubt, astonishment, permission, Polite request
MAY
Permission, if not prohibition, supposition with doubt
MUST
Obligation, firm necessity, logical conclusion, probability
SHALL
intention, supposition
WILL
Wish, desire, will, confidence, in the future
OUGHT TO
Moral duty, insistent advice, strict recommendation
NEED
(un)necessity
BE TO
Obligation arising out of arrangement or agreement
HAVE TO
Unwillingness, forced circumtances
WOULD
Wish (with «to like»), polite request, a habit of the past
SHOULD
Necessity, advice, blame, recommendation, reproach, regret
USED TO
Repeated action in the past
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