The title is a likely reference to the 1970 book Future Shock, which discusses the rapid change in the structure of society that can overwhelm people.
A Bot-Mitzvah is a reference to a Bat mitzvah, a Jewish tradition. The banner written in Hebrew reads "Today you are a robot", with spelling errors (היוֹמ אתה רוֹבּוֹת).
The Planet Express advert which That Guy creates is a parody of the famous 1984 advert which advertises the Apple Macintosh.
"Two go-goes like us, could rule this world", which can be a reference to that That Guy and Fry both are from the time period around the 1980s and the song "Wake Me Up Before You Go-Go" by Wham! is produced in 1984. Though the whole episode there are reference and quotes about the 1980s.
"This company is going to shoot straight to the top and stay there - like Cyndi Lauper". Cyndi Lauper was a singer who gained popularity in the mid-1980s and one of her albums was the first album to have four top 5 singles by a female.
When green creature says: "Thank you, come again" it is likely a reference to the Simpsons character Apu who has the same quote.