Shrimp can last in the freezer for six to eight months past the sell-by date. The storage time is the same for fresh shrimp as open or cooked shrimp.
If shrimp is canned or has been open or cooked, it stays fresh in the refrigerator for five to seven days. Once shrimp has been cooked, it should be placed in an airtight container to maintain freshness. Freezer-safe containers or freezer bags are best for storing shrimp in the freezer. If the shrimp becomes slimy to the touch and develops a fishy odor, it has gone bad and should be thrown away.