She vowed to 'avenge herself' [=to get revenge], saying she would make him pay for what he had done to her.
The team is out to 'avenge' last week's defeat. [=to defeat the team that they were defeated by last week]
They vowed to 'avenge' their father by capturing and punishing his killer.
(..) - and he comes to me on his knees. - What? A lifetime? I did not have a lifetime. We only heard about Master Rhino a few days ago, - and we came to avenge him! - You've come to avenge nothing else? Well, yeah. All the pots and pans that you stole. - I'm gonna want those back. - Nothing else? (..)2011 Kung Fu Panda 2