The console was released on November 19, but stocks ran out at several UK retailers after orders were opened.
Earlier this week, Sony promised more would appear in stores next year and said demand had been “unprecedented”.
However, a raft of Brits were still expecting one of the coveted consoles this Christmas.
Mark Goldbridge, a presenter at Man Utd fan channel The United Stand, tweeted: “Yes!!! Socks, Lynx Africa, and no PS5….
“Haven’t felt this disappointed since we signed Fellaini.”
Another Twitter user said: “No PS5 just Lynx Africa and vibes.”
A third shared a picture of the new Spider-Man game and wrote: “Got a PS5 game… but still no PS5.”
Others decided to lord it over the disappointed gamers on social media.
One tweeted: “No PS5 today because I got it on release day…”
Another boasted: “Got my Lynx set and I already have my PS5. I’m content.”
One bloke shard a picture of a “PS5 candle” with lettering which read: “Smells like you’re not getting one.”
Earlier this week, two boys were left fuming when they received a PlayStation 5 as an early Christmas gift – only to find their parents had played a brutal trick on them.
Parents Corey Lawson and Michi posted a video of the prank on Instagram, saying their two sons are both “video game-obsessed”.
In the footage, Jalen, 11, and Cory, 13, start unwrapping the gift and scream in excitement after spotting what appears to be a PS5 box.
However, it was filled with a book, a pair of shoes and empty packaging bags.
After the console was released, Playstation’s boss defended the £70 price tag for games.
President of Sony Interactive Entertainment Jim Ryan hit back at critics who have said the eye-watering sums are too much when so many are struggling for work in the pandemic.
He said: “Yes, yes, I do [think it’s a fair price].
“If you measure the hours of entertainment provided by a video game, such as Demon’s Souls, compared to any other form of entertainment, I think that’s a very straightforward comparison to draw.”
The main console costs £450 while the PS5 Digital Edition, which lacks a disc drive, is £360.
Do you want a PS5 this Christmas? Let us know in the comments below.