Your brother's sister is your daughter's aunt, and your daughter is your brother's, and his sister's, niece.
Your mother's sister-in-law is either the wife of her brother (your uncle), or your father's sister (your aunt). The niece of your uncle's wife is not related to you, unless she is you, your sister, or a girl cousin who is the daughter of another of your mother's brothers or sisters. The niece of your father's sister is you, your sister, or the daughter of another of your father's brother's or sisters. If your father's sister is married, she may have nieces who are the daughters of her husband's brothers or sisters. Those nieces are not related to you.
You are not related to your daughter-in-law's sister, although she is your son's sister-in-law.
Your daughter-in-law's sister is not related to you, but is your son's sister-in-law.
Your daughter-in-law's sister is not related to you, but is your son's sister-in-law.
None.Your daughter's husband is your son-in-law and his sister is your daughter's sister-in-law. But the English language does not consider you to be related to your daughter's husband's sister
Your father's sister's daughter (or son) is your first cousin.
Your mother's sister is your aunt and her daughter is your first cousin.
Your sister's daughter is your niece. Your niece's husband is not related to you.
Your daughter-in-law's sister is not related to you, unless she is married to another one of your son's.
They are second cousins
Your father's sister's (or brother's) daughter (or son) is your first cousin.
Technically, the sister of your daughter-in-law is not related to you at all, although she is your son's sister-in-law. Most people would introduce her as the sister of your daughter-in-law.