This is the first episode where Timmy does not appear in the title card.
The child version of Mr. Turner also appears in "The Secret Origin of Denzel Crocker". However, in that episode, he looked much more like Mr. Turner as an adult and said his name wasn't "Dad", but he says "Dad" is his nickname in this episode.
If Mrs. Turner and Mr. Turner were ten years old in the 70s, this means that both are born in the 60s.
Mr. Turner can tell when something bad happens to his trophy.
Timmy causes a time paradox when his dad loses the race & goes to dictator school. This paradox is defined like this: Since Timmy's dad went to dictator school & never married Timmy's mom, Timmy was never born, thus he couldn't go back in time to prevent his dad from winning the race. This paradox would've erased Timmy from existence as it would've happened. The situation in this episode is a variant of what is better known as the grandfather paradox.
The phrase, "And this is where I'd keep my trophy, IF I HAD ONE!" has achieved memetic status.
Mr. Turner doesn't get that tired out while doing exercise while Mrs. Turner gets easily tired from it.
Both Cosmo and Wanda do not like lava lamps but they like computers.
There is a reference to anti-racism while present-day Cosmo is talking to the 70s Cosmo and Wanda. Cosmo, referring to a foot race, states that "This is a good race!" The 70s Wanda replies, "We think all races are good, man," and the 70s Cosmo adds, "We don't judge."
Bill Gates - Billy Gates, Cosmo and Wanda's former godchild is based on the famous real-life creator computer mogul and creator of Microsoft.
Spider-Man- The trophy scenes are a possible reference.
Mr. Turner's trophy senses are a reference to Spider-Man's spider senses.
eBay - Z-Bay is a parody of the famous online buying shop.
Back to the Future - The Time Scooter's exit and entrance are a reference to the Delorean's exit and entrance.
Back to the Future Part II - This episode parodies the movie, mostly the parts where time is drastically changed and creates a dysotopian future and the past having to be altered to prevent that from happening again; This is actually true in real life.
A Charlie Brown Christmas - The mini-scene where 1970's Cosmo and Wanda, and 2000's Cosmo and Wanda are dancing is a parody of the dance scene.
Timmy melting stuff with heat vision.
In the dysotopian future, people (mostly Mr. Turner) will say "OR ELSE!" at the end of their sentences.
People being awed by lava lamps and saying "The colors!"
Cosmo saying "You're attractive", "I Love You!", or "We make a groovy couple, don't we?" to someone. (mostly Wanda)
When Mr. Turner tells Timmy that he's training for the big race, Mr. Turner's armband turns into a watch, then an armband again.
When Timmy remembers how slow he was during the race, look really close at his lip synching and you'll notice that he has regular teeth instead of his trademark buckteeth.
When Timmy finds his dad and when he's avoiding Chester and A.J., he's riding the scooter like he's riding a normal scooter, although that scooter is only used to travel through time.
In The Secret Origin of Denzel Crocker!, when Timmy travelled back to the 1970s Cosmo and Wanda are Crocker's fairy godparents, not Bill Gates'. However, Bill Gates could have gotten Cosmo and Wanda after Crocker, or vice versa.
Bill Gates didn't invent the internet, Tim Berners-Lee did.
Timmy says that he is going 30 years in the past, but his time scooter says, "1970", so Timmy should have said, "32 years" since the show takes place in 2002.