Apollogy 

A verbal expression of regret voiced by the Greek god of the solar system.

Wikipedia mentions the myriad of foibles and transgressions committed by the Greek god of many talents, yet it says nothing of his making an Apollogy for any of them.

Apollogy by QuacksO August 1, 2018

Cash Apology 

When your "parents" have deceived you and then realise that you will find out eventually, they set about buying you EVERYTHING so you wont hate them for what they've done from the age of 14. So you get a brand new motor cross bike, then a brand new helmet, and motorcross boots and gloves and goggles, and trips everywhere so you can ride. Then they buy you more motorbikes and more helmets and they make you the "Golden Child" so you refuse to hear the truth and hate them.

SInce Muzza's dad was told that junior didn't think he was his real dad, his parents have gone nuts and bought him everything he ever wanted. His fake grand parents are in on it too. They changed his birth certificate so he wouldn't find out. That's what you call a Cash Apology - and then some.

Cash Apology by ratsbackside December 8, 2020

Fake apology 

After the suicide forest Logan Paul said this

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 making a fake apology

Fake apology by XLXIsaac3624 March 1, 2019

I owe you an apology. I was not familiar with your game 

A fraze once made popular by NBA Legend Shaquille O'Neil reacting to a surprisingly good performance by a current NBA Player that he never thought was able to put on the court, undermining his class up until this very point in time.

This term is now commonly used to describing a situation in which an individual (mostly male) acknowledges the fact that a (female) has been attractive and he just never noticed or was blind to this fact for other reasons, leading him to apologize using the infamous inside joke.

1. Shaq: Christian Wood I wan't to apologize, I wasn't familiar with your game and-
Wood: Aw man, you're a casual!

2. Dude: Gyatt, Sandra that booty phaaat. You been hitting the Gym lately?
Sandra: What? My booty been fat ever since, where have you been?

Dude: Oh okay, I see you now though. I owe you an apology. I was not familiar with your game.

I owe you an apology. I was not familiar with your game by Dschezi December 21, 2022

Notes app apology 

An apology that a person (mostly influencers and celebrities) type out on the notes app (more particularly the notes app on an iPhone). They are usually a quick apology so the writer can do damage control if that celebrity or influencer gets canceled or called out for something that is usually controversial. It’s hard to tell if a notes app apology is sincere since they can constructed by ones management, publicist or team. They are commonly uploaded to social media sites such as Twitter and Instagram.

Person: Omg gurl look! James Charles got canceled yet AGAIN!
Person #2: Yes gurlll I also saw that half assed Notes app apology he put out on his Instagram. I’m disgusted.

Notes app apology by I Tell The Whole Real Truth July 12, 2021

fruit cup apology 

when someone has frequent and unjustified angry outburst but upon the realization they have no friends left they hand out fruit cups instead of apologies this is done because they don't believe they have done anything wrong but they still need people on their side

Janice acted like a crazy bitch yesterday and thinks this fruit cup will make up for it.. I'll accept the fruit cup apology just because the drama otherwise would be exhausting

fruit cup apology by crazyasian March 18, 2015

Naked Apology 

1. so sincere that when you offer someone a naked apology you are telling them that there's no way you are lieing because the apology strips you of everything that you are.

2. To give an apology whilst being naked.

1.
Kevin: I am sorry for running you over with my car, I offer to you my naked apology so you will forgive me.

Kim: I can do nothing but accept

2.
Brad: Here I am, naked, while apologizing to you.

Naked Apology by Regina Wilson August 5, 2007