Fauxdian Slip

"Life tip: It doesn't count as an accident if you do it 3 dates in a row."

"Well, your story is VERY compelling, Mr. Jackass, I mean, Simpson..."

—Police Chief Wiggum, from The Simpsons, in response to Homer's claim of seeing a space alien.

On the one hand there's the Freudian Slip, where a character means to say thing A but says thing B by accident, likely because B reflects on what is really on their mind.

But in this case, a character says thing B on purpose, and "pretends" (whether as a matter of deceptive intentions or just sarcastically) that it was an accident. Basically, this is for when a character wants to openly express the kind of thing that a character who makes a Freudian Slip is trying to keep to himself/herself.

Compare Cough Trope Cough, which is often used for similar purposes.

Examples of Fauxdian Slip include:

Live Action TV

Rachel (and then later, Ross) trying to flirt their way out of a ticket, in one episode of Friends.

Rachel: Here you go, Officer Handsome.
Officer: It's Hanson.
Rachel: Whoops, my mistake.
(Later)
Ross: Here you go, Officer, uh, Pretty.
Officer: It's Petty.
Ross: Whoops. (nervous giggle)

Babylon 5 has Bester use this to reveal that Talia Winters was dissected by the Corps. Whether this was true or not is never made known.
In The Nanny episode "Maggie the Model", Fran attempts to let Maggie down easy after Maggie bombs as a potential model:

Maggie Sheffield: But Chloe said...
Fran Fine: I know what Chloe said, but we'll cross that bitch when we get to it.

Film

Bruce Almighty: "Evan Backstabber...Bastard...Baxter!"
Moulin Rouge; Nini outing Satine and Christian to the Duke ("Why would the courtesan go for the penniless writer? Whoops! I mean sitar player!").

Web Comics

Saturday Morning Breakfast Cereal provides the page image.

Web Original

From this video from The Amazing Atheist:

General betray us - sorry, REALLY big frog in my throat there - General "Petraeus..."

Western Animation

The Simpsons, of course, provides the page quotation.

Real Life

Cicero used this in his speech in defense of Caelius, who had been accused of several crimes by his ex-lover Clodia. Clodia was the sister of one of Cicero's bitterest political enemies, and it was rumoured there was a Brother-Sister Incest relationship among the siblings. In his speech, Cicero said at one moment: "And, indeed, I would do so still more vigorously, if I had not a quarrel with that woman's husband - brother, I meant to say; I am always making this mistake."