Mackenzie and his family are New Zealanders, a reference to the Dog from Footrot Flats.
In 'Hospital' and 'Tickle Crabs', Bandit calls himself Telemachus. According to the showrunners, this is because the episode writer likes Ulysses 31.
In 'Daddy Robot', Bandit remarks that Bluey and Bingo actually cleaning up after themselves feels like "a robo-dream". Chilli replies, "Then you'd better kiss me before you wake up." The shot of a beautiful golden-hour sun and the synthwave score are not exact but are nevertheless very evocative.
In 'The Weekend', the doll that Bluey shares that wears sushi shoes is a reference to Shoppies dolls, specifically Sara Sushi.
At the beginning of 'Fruitbat', the family play a game called "Pop-Up Croc", which has a very similar mechanic to the real-life game Pop-Up Pirate. The character inside the barrel resembles "Crocodile" Dundee.
Another shoutout comes in 'Muffin Cone' in the sandwich shop: "That's not a knife! This is a knife!"
On another note, in 'Dad Baby', Bandit – with Bingo in his papoose – tries eating Dim Sims, only for each one to get snatched by Bingo, very similar to this moment.
In 'Yoga Ball', Bandit plays a game called Raiders with Bluey and Bingo, which involves being chased down the corridor by the titular ball.
In 'Fairies', Bandit dances a jig in front of the neighbours, resulting in him saying...
Bandit sprays Chili with a water gun modeled after a Splattershot.
When his dad jokes fall flat, Bandit adjusts an imaginary tie and remarks "Tough crowd", referencing the late comedian Rodney Dangerfield.
In 'Beach', a montage of family fun at the beach includes a brief shot of Chilli lying in the same pose as the iconic Australian photograph Sunbaker, taken in 1937 by modernist photographer Max Dupain.
In 'Early Baby', the game Rusty, Coco and Snickers are playing is very similar to the myth of Saint George, with Snickers playing a dragon that terrorizes a town and Rusty playing a knight who goes to rescue the king's daughter after she's chosen to be sacrificed to the dragon.
Bluey's Chattermax toy in 'Hide and Seek' is clearly based on Furby.
Bonus points in the game where it's an updated version that's more talkative – much like the Furby Baby.
The ninja headbands that Bluey and Bingo wear in 'Chickenrat' are clearly inspired by those found in Naruto.
'Featherwand' has Bandit utter "you shall not pass", and at one point has Pat perform a Naruto run.
In 'Grandad', Bluey, Bingo and Grandad hide from Chilli under tree roots in the same way that the Hobbits hide from the Nazgûl in The Fellowship of the Ring.
Another Vinesauce reference appears in 'Born Yesterday', where a plush version of the Vinesauce mushroom can be seen.
In 'Hammerbarn', there are three boxes labeled Edelgard, Dmitri, and Claude. Better yet, the box labeled "Dmitri" is missing an I like Dimitri after Three Houses' timeskip, and the box labeled "Claude" is upside down.
In 'Queens', Bandit, on his turn to be the Queen, swears an oath "by Toutatis".
In 'Postman', Bluey and Bingo briefly discuss a character from a TV show named "Postie Petunia".
The "Moonlight Unicorn" toys seen in 'The Quiet Game' are parodies of the My Little Pony toys.
As seen in 'Octopus', Bluey's friend Chloe, a Dalmatian, lives in a house numbered 101.
The kindy classmates Bingo mentions in 'Bin Night', Banjo and Felix, are a nod to famous poets Banjo Paterson and Felix Dennis. Bingo mentions Banjo wearing a hat, just like Paterson was known for doing in real life.
The cake in 'Duck Cake' is an actual recipe in the Australian Women's Weekly Children's Birthday Cake book, a beloved cooking classic, in print for decades.
'Perfect' has a game where Bandit is a ticket conductor and when Bluey does not have a ticket, he throws her out the window (read: onto a bean bag) and tells the others "no ticket".
Chili's motivational "like a greyhound" speech to Bluey in 'Obstacle Course' references "what are your legs?" in Gallipoli.
'Magic': Bluey and Bingo use their "magic" to make Bandit and Pat do the famous dance from the finale of Dirty Dancing complete with Pat catching Bandit.
'Unicorse':
Unicorse says that his favorite food is "chicken bucket".
In 'Chest', Chilli sarcastically calls Bandit "Deep Blue", after the famed chess-playing computer.
In 'Phones', Bluey shows Grandad her autographed picture of The Wiggles.
The game Bandit and Chilli play at the beginning of 'Pavlova' heavily resembles the game Risk.
Midway through 'Ragdoll', when Bluey and Bingo push Bandit onto the Skateboard, he lands in the iconic Family Guy "Death Pose," with his tail hanging over instead of his other arm.
'Fairytale':
Bandit and his brothers play an arcade game which is basically a canine version of Double Dragon.
The young Chilli wears a She-Ra costume. Additionally, when Bandit proclaims "your mum wrote your name on everything" near the beginning of his flashback, an action figure that appears to be a canine version of He-Man is shown, with said character also appearing on a pair of underpants in the same shot.
In 'Musical Statues', Chilli's dancing during the first song resembles Uma Thurman's famous dance moves from Pulp Fiction.
In 'Kids', there are several references to Homestuck, such as two freezers in the background being labeled "Derse" and "Prospit". This was later confirmed by former art director Catriona Drummond.
'Ghostbasket':
To Scooby-Doo; part of the chase around the house involves Scooby-Dooby Doors. A twist is given, however, as instead of the sequence playing out as one continuous shot, slight cuts are made to give the impression that the chase has been going on for some time.
At the beginning of the episode, when "Hugo" (Bandit) shows "Monique" (Chilli) the house, she remarks that it seems small, to which "Hugo" replies "it's bigger inside."
'The Sign':
The ending of the episode using a licensed indie pop song (Lazarus Drug by Megan Washington, the voice of Calypso) over an extremely emotional conclusion resembles the show BoJack Horseman's usage of licensed music during some of its most emotional scenes.
. The character inside the barrel resembles "Crocodile" Dundee.