Different ways to say sorry

Apologizing for small mistakes

Whoops! Sorry! 

Oh! Sorry. 

Sorry about that.

Oh, my bad. 

My fault, bro. 

Apologizing when you make a more serious mistake:

serious mistake 

I’m so sorry. 

I apologize. 

"oh my goodness" ?? "oh my gosh"  sorry

serious mistake 

Oh my goodness! I'm so sorry. I should have watched where I was standing. 

Apologizing for incorrect information

My mistake. 

I was wrong on that.

My apologies. 

Sorry, my apologies. I had that wrong. 

Making a formal or serious apology

I’d like to apologize.)

I want to apologize. 

I owe you an apology. 

I wanted to tell you I’m sorry. 

 reason 

I'd like to apologize for how I reacted yesterday.

I hope you can forgive me. 

That was wrong of me. 

...if you’re very serious about your apology.

Writing a formal apology

I sincerely apologize... (for + reason)

I take full responsibility... (for + reason)

I sincerely apologize for my actions.