1
It is synonymous with "should".
2
Indicates a obligation or recommendation. It reflects a view on what is right. This translates as the conditional of "deber" in Spanish.
3
Indicates skill or possibility in the past
4
It is used to indicate possibilities in the present or the future. In these cases, it is a synonym for may.
5
It is used as "will" to form the future tense. The use of "shall" is much more common in the UK and is generally more polite.
6
It is used to declare a preference and to ask for something politely.
7
It is used to form the future tense. Also means will or determination.
8
Indicates an obligation, prohibition or need. You can also use "have to" (tener que ).
9
Indicates skill or possibility
10
It is used for indicate possibilities in the future