Apologeez 

A saying one can say when a sincere apology on your part is met with rebuttal / rejection. It can be used in scorn or sarcasm if the victim is in fact being annoyingly dramatic.

Bo: I'm sorry I jumped the shark. There was a trampoline and I was so pumped by my girlfriend and--
Jack: Yeah, you better be sorry, you ignorant prick! Thanks to you and your stupid waterskis, my Brucey-Wucey won't even be able to eat with planks in his mouth!
Bo: Apologeez… Forget I even tried.

Apologeez by 拉奇阿尼丹 February 5, 2018

apologems 

In-game currency given for free to the game's playerbase as apology for maintenance, glitches, or other issues or obstacles in game play. Derived from a portmanteau of the words "apology" and "gems", because many games use gems, jewels, or diamonds to represent in-game currency. Apologems often consist of particularly valuable forms of in-game currency, such as those which can be obtained via microtransactions.

Sarah: Ugh, the server maintenance for Love Nikki has been going on for an hour longer than the developers said it would!
Kate: It sucks, but hopefully they'll send us all some apologems to compensate.

apologems by CeroTheLesbian August 21, 2020

I DO apologize 

This means I do NOT apologize, and fuck you.

"I DO apologize,"...said the serial killer.
"I DO apologize"... said the politician.
"I DO apologize"...said customer service.

I DO apologize by sizzlefashizle October 19, 2018

Apologetic Mushroom 

Originally from Kuroko No Basuke; a person who blames themselves for everything, and constantly apologises for their existence.

Hannah: *picks up phone* Hello?
Peter: Hannah, I'm sorry I'm such a loser! Please can we get back together! I'm so sorry! Please forgive me I'm so sorry!
Hannah: I wouldn't have broken up with you if you weren't such an apologetic mushroom!
Peter: I'm sorry!

Apologetic Mushroom by ThemorriganXIII May 22, 2018

“I’ve made a severe and continuous lapse of my judgment and I don’t expect to be forgiven I’m simply here to apologize”

Something Logan Paul said once....
...and got a lot of hate for it after a certain incident.

Pewdiepie reviewed this sometime not too long ago and said the steps to an apology “I’ve made a severe and continuous lapse of my judgment and I don’t expect to be forgiven I’m simply here to apologize”

“I’ve made a severe and continuous lapse of my judgment and I don’t expect to be forgiven I’m simply here to apologize” by S/he’s just a friend December 13, 2020

Apologetic Alcoholic 

Someone who apologizes a lot after drinking a lot

When he drinks he is such an apologetic alcoholic.

Apologetic Alcoholic by Mmmmmmmoooooooo December 8, 2019

I DO apologize 

Rather than taking responsibility or solving a problem that a company has caused you, they just use the three litte words to end the matter: "I DO apologize" with the emphasis on "DO". What they are really saying is "I DON'T apologize, nor do I give a damn about you, or the inconviences and money we have cost you, now hang up the phone and let me get back to my sandwich!"

After dinging the customer's credit card a third time, the phone clerk responded, "Yes I see we have overbilled you and caused your credit score to be lowered do to a mistake we have made but it is past 30 days and there is nothing we can do about it, I DO apologize".

I DO apologize by Rich Friedland March 15, 2009