1-To express determination
I would stand by you through thick and thin.
2-Polite invitations
Would you like to have tea of coffee?
3-polite request
Would you please allow me to use the phone?
4-To express wishes
I would like to become a doctor.
5-Preference
I would rather walk to the park than go by car.
6-Past habits
In winter he would study late at night.