Timmy's dad as a kid was also shown in "The Secret Origin of Denzel Crocker" except in that later episode he looked much more like Timmy's dad as an adult and said his name wasn't "Dad," but he says "Dad" is his nickname in this episode.
Since Wanda said 30 years ago and the time scooter says 1970 it's possible in the present the show takes place in 2000.
If Mrs. Turner and Mr. Turner had ten years in the 70s, this means that both are born in the 60s.
Mr. Turner can tell when something bad happens to his trophy.
Apparently in the 1970s, Cosmo stated he will never suggest heat vision again, and yet ironically he suggested again even though he said will never suggest it again.
In the episode, 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.
Apparently Mr. Turner doesn't get that tired out while doing exercise while Mrs. Turner gets easily tired from it.
Timmy learns this the hard way: When one travels to the past & does something that'll affect something very important that'll happen in the future/present of the time traveler, an alternate timeline/universe comes into existence, which can be described in this case as 2001A.
Cosmo also invented an alternate timeline that could be described as 2001B, where the Internet is called Timmy & Timmy is named "Internet".
Both Cosmo and Wanda don't like lava lamps but they like computers.
The phrase, "And this is where I'd keep my trophy, IF I HAD ONE!" has achieved memetic status.
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.
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 Timmy's Dad tell that he's training for the big race, Dad's armband is turning into a watch, then an armband again.
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.
How can Timmy exist outside of time if he ended up changing the future? If his parents never met, then he should have disappeared along with the present day Cosmo and Wanda. It is likely however that the time scooter protects the user from being erased from history if they change something that would cause them to be eliminated from the timeline.
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.