The next one is the remarkably similar real life version from Figure.

(Robot delivery from Figure)

The next storage and delivery solution suggested by science fiction is this sequence from Star Wars: The Phantom Menace:

Take a look at this not quite as efficient delivery video showing the most subscribed Twitch streamer, Kai Cenat, unboxing a Unitree G1:

Here's an unboxing description of the Electric-Automatic Housemaid Robot from Ely's Automatic Housemaid, by Elizabeth Bellamy, published by The Black Cat in 1899:

The return mail brought me a reply stating that two Electric-Automatic Household Benefi­cent Geniuses had been shipped me by express. The letter enclosed a pamphlet that gave a more particular account of the E. A. H. B. G. than the circulars contained. My friend’s invention was shaped in the likeness of the human figure, with body, head, arms, legs, hands and feet. It was clad in waterproof cloth, with a hood of the same to protect the head, and was shod with felt. The trunk contained the wheels and springs, and in the head was fixed the electric battery. The face, of bisque, was described as possessing “a very natural and pleasing expression.”
Just at dusk an oblong box arrived by express and was duly delivered in our hall, but at my wife’s urgent entreaty I consented not to unpack the machines until next day.
“If we should not get the knack of managing them, they might give us trouble,” said this wise wife of mine.
I agreed to this, and having sent away Bridget with a week’s wages, to the satisfaction of all parties, we went to bed in high hopes.
Early next morning we were astir.
“My dear,” I said, “do not give yourself the least concern about breakfast; I am determined that Harrison’s invention shall have fair play.”
“Very well,” my wife assented: but she prudently administered bread and butter to her offspring.
I opened the oblong box, where lay the automatons side by side, their hands placidly folded upon their waterproof breasts, and their eyes looking placidly expectant from under their waterproof hoods.
I confess the sight gave me a shock. Anna Maria turned pale; the children hid their faces in her skirts.
“Once out of the box,” I said to myself, “and the horror will be over.”
The machines stood on their feet admirably, but the horror was not materially lessened by this change of position. However, I assumed a bold front, and said, jocosely: “Now, which is Bridget, and which is Juliana — which the cook, and which the housemaid?”
This distinction was made clear by dial-plates and indicators, set conspicuously between the shoulders, an opening being cut in the waterproof for that purpose. The housemaid’s dial-plate was stamped around the circumference with the words: Bed, Broom, Duster, Door-bell, Dining-room Service, Parlor Service, etc. In like manner, the cook’s dial-plate bore the words that pertained to her department. I gave myself first to “setting” the housemaid, as being the simpler of the two.

Here's a guy picking a robot out of a box, which I got from a post on X from CIX:

Here's another science-fictional method of robot delivery and unpacking from I, Robot:

Update 05-Jun-2025: This method of unpacking a robot is from sf author Harry Harrison in Arm of the Law (1958):

It was a big, coffin-shaped plywood box that looked like it weighed a ton... Finally we had to dig out the crowbar and I went to work on the top. After some prying it pulled free and fell off.

That was when we had our first look at Ned... Ned lay motionless and stared back at us.

"A robot!” the chief said.

...I wondered how we got the robot out of its plywood coffin.

Experimental model or not, this was a nice looking hunk of machinery. A uniform navy-blue all over, though the outlet cases, hooks and such were a metallic gold. Someone had gone to a lot of trouble to get that effect. This was as close as a robot could look to a cop in uniform, without being a joke. All that seemed to be missing was the badge and gun.

Then I noticed the tiny glow of light in the robot’s eye lenses. It had never occurred to me before that the thing might be turned on. There was nothing to lose by finding out.

“Get out of that box,” I said.

The robot came up smooth and fast as a rocket, landing two feet in front of me and whipping out a snappy salute.

“Police Experimental Robot, serial number XPO-456-934B reporting for duty, sir.”

End update.

One final video of a science-fictional robot that can fully deliver and unpack itself, possibly demonstrating why you'd want to have some control over the process. From Jonny Quest - The Robot Spy, first aired in 1964: