Sure, here are eight phrases that can be used to describe seeking revenge:
1、"Settling the score with a vengeance."
2、"Taking retribution into my own hands."
3、"Inflicting justice upon those who wronged me."
4、"Seeking payback with unwavering determination."
5、"Delivering retribution with a calculated fury."
6、"Balancing the scales of justice through retaliation."
7、"Unleashing a vendetta with relentless resolve."
8、"Extracting revenge with a cold and calculated precision."