Expressing fear:
* The little girl shrieked in terror as the monster appeared in the shadows.
* When the car skidded on the icy road, the passengers shrieked in alarm.
Expressing pain:
* She shrieked in agony when the doctor pricked her finger.
* The injured bird shrieked in pain as it struggled to fly.
Expressing excitement:
* The crowd shrieked with delight as the winning team scored the final goal.
* The children shrieked with laughter as they chased each other around the playground.
You can also use "shriek" as a noun, referring to the sound itself:
* Her shriek echoed through the empty house.
* The shriek of the siren filled the night.
It's important to note that "shriek" is a very dramatic word, so it should be used sparingly.