Henry Hazlitt's "The Broken Window Fallacy"...seeing only the immediate effects and groups' impacted by government policy while ignoring long term effects and other groups involved.

My favorite one is "middle ground." IMO, there is no nobility in "reaching across the aisle" when it results in surrenderihng freedoms or wrecking the economy (that includes ditching jobs for the "climate change" we've always had). And try to seek "middle ground" with a Muslim suicide bomber who will kill you for not converting from Christianity or for being born a Jew.

You find many of them here in active use. We just prefer to be polite to each other.

Ad misericordiam: This argument must be valid because there is suffering. As in "You must give up some of your property because that person has none of his own".

My favorite logical fallacy?

Argumentum ab auctoritate ("It's true because the best professors of economics say so!")

And its close cousins:

Argumentum a gradis (literally, "from one's grades". The form of this is: "How dare you criticize a person of my talents? Look at my grades, and look at your grades, and let's see who's qualified!")

Argumentum a populo (argumentum a numeris, argumentum a multitudine): "You're in the minority. The majority can't be wrong." As if truth were subject to a vote.

Favorite as in most annoying: False Alternative.
As in most serious: Misericordium - Appeal to Pity, because it is such a part of Altruism.

It's not really a fallacy, but one of the worst reasoning errors that comes natural to us all is to pick a conclusion and then look for evidence to support it.

My favorite fallacy name is the "no true Scotsman" fallacy, which is a form of special pleading.

Too often I rely on my own experience. This falls under the anecdotal fallacy.

There were some screwy Roman philosophers. One of their favorites:
Post hoc, ergo propter hoc.
I was going to leave it un-translated, but that's not playing fair.
"Following this, therefore because of this."

My favorite from the list is Bandwagon, because it can make you a lot of money. When absolutely everyone is on the bandwagon in a financial market, take the other side of the bet and you will often make money.

I absolutely love that poster. I deal with that stuff daily. Problem is...almost no average American would have any clue what any of it meant. Not one f'ing clue.

It can't b true because "I never heard of it."

Appeal to the expert. If a smart person says it, it must be right, without logical support.

"on a pedestal" like doctors, priests, presidents, etc., etc.

"Governments = Roads" {sorry}

When you say 'favorite"...???

But I would say: Argument...
from ignorance
from silence
to moderation

This doesn't really go along with a John Galt theme, but one statement that is a logical fallacy is: "This statement is false."

That because someone agrees intellectually with Rand's philosophy, that makes them more logical or a better person!

This is mine so I am not sure if it's what you are looking for.

People who take Government handouts are Moochers.
Ayn Rand accepted Social Security and Medicare.
Ayn Rand is a Moocher.

I hear this from Rand haters from time to time.

I hate them all but my least hated, and I guess my favorite, is: equivocation. Normally those are easy to point out and correct.