The daughter of your first cousin once removed is your first cousin twice removed, or your second cousin, depending on which generation your are in compared to your first cousin once removed.
Your daughter and your first cousin are first cousins, once removed.
Your aunt's daughter is your first cousin.
Your wife's first cousin's daughter is your wife's first cousin, once removed, but is not related to you.
Your first cousin.
Your first cousin's daughter is your first cousin, once removed. Your child and your first cousin's daughter are second cousins to each other.
Your daughter and your first cousin's children are second cousins to each others.
The daughter of your aunt is your first cousin. The daughter of your great aunt is your first cousin, once removed.
2nd cousin once removed
The relation of the mother;s sister to daughter is niece-aunts.
Your daughter and your nephew are first cousins. His daughter is your daughter's first cousin, once removed.
Your daughter and your nephew are first cousins. His daughter is your daughter's first cousin, once removed.
Your first cousin's daughter and you are first cousins, once removed. Your first cousin's children and your children will be second cousins to each other.