Different ways to Apologize to people for different situations.

Informal: Sorry! I broke the window.

Formal: That's my fault, I'll fix it.

Informal

Sorry.

British

American

Sorry about that.

British

American

I'm so sorry.

British

American

I'm sorry for...

British

American

I'm sorry that...

British

American

Formal

I'm really sorry.

British

American

That's my fault / It was my fault.

British

American

How careless of me.

British

American

Please excuse my ignorance.

British

American

Please accept our apologies.

British

American