Excuse for horrible actions.

Sky Daddy or his more accurate title of „Fictional Tyrant with bad Temper“

The Big Lie.

"The Biggest Con of All Time"

Imaginary Sky Man.

Flying Spaghetti Monster.

Scammy McScam Man

• Random Chance
• Cause and Effect

Depending on the situation I guess.
I think, otherwise, the only time I invoke a higher power is when I swear :)

"physics"

The Universe

404

The writers

I like Bo Burnham's titles (both from the song Rant):

"The Blue-balled Anti-masturbator" and "The Great All-loving F*ggot-hater"

Edit: the instance removed the hate speech (which I was simply quoting and don't condone) so I censored it

Invisible Pink Unicorn

Nature.

If you're talking specifically about the Jewish deity, I generally use "Yahweh". As that is the name ascribed to him in Jewish mythology. If you're speaking of a more general deity, I tend to use "RNG". This being the acronym for the "Random Number God".

Asshole
Deadbeat Allfather
Holey Ghost
Sky Wizard
Santa Claus

The Great Green Arkleseizure

The Great Non-Being

Lain

It's not abstract at all, but my favorite is the Living God. It's an old one (Elohim khayyim), but I strongly empathize with the sentiment: if there is a God, God must be alive. She must be able to do things--God must have volition. He isn't just a product of natural order (e.g., the Sun). He might be a prick sometimes, but His actions are better than chance. If your god is a coin toss, your god may as well be a coin toss. Whichever God demonstrates Her existence is the real One. Everything else is make-believe at best, a long con at worst.

Who?

Sky Wizard.

Imaginary friend

Hypothetical higher power

al-Aḥad ("The One") is nice. It's one of the 99 names of God given in the Qur-an. Coincidently, it's close to my younger cat's nickname: "One" (short for "Little One").

I mean, I do technically feel all of these names implied when talking about God, but none of them I "call" God. I guess "supreme being" would do it, I use that often even in church. I'm surprised your list doesn't have the likes of "grand unified theory", "the great white hole", "the sun", "sol invictus", "the man behind the pixels", "time incarnate", or "Morgan Freeman".

GOnaD

Nicholas Cage

The Logos

It's been a while, but I think Max Barry came up with Global Unified Deity in Jennifer Government (great book, by the way)

The Great Attractor The Everlasting Engineer The Architect

Dave

ET

Transdimentional space alien

“Divinity”. “Source”

The big dog

Jeezo

Dog

The origin point of the universe, if we lean into the secular sense