Expressing remorse or regret:
* Apologize: This is the most direct and common way to express apology.
* Atone: This implies taking action to make amends for a wrongdoing.
* Regret: This focuses on feeling sorry for something you did.
* Repent: This suggests a deep feeling of remorse and a desire to change.
Showing humility or deference:
* Concede: This suggests admitting fault or weakness.
* Acknowledge: This implies recognizing and accepting responsibility.
* Excuse: This is less formal than apologize, but still acknowledges a wrongdoing.
* Begrudge: This suggests reluctantly accepting something you dislike.
Other options:
* Grovel: This is a more extreme form of apology, implying excessive humility.
* Humiliate oneself: This suggests a strong feeling of shame and a desire to be forgiven.
The best verb to use will depend on the specific context and the level of apology you want to convey.