In the opening credits when Nick Andopolis has his school picture taken, he is wearing a black blazer over a T-shirt. When the black and white yearbook pictures are shown at the end of the opening credits, the blazer has disappeared and he is wearing only a long-sleeved shirt.
At the end of the opening credits, a yearbook shows Nick, Lindsay, and Sam's pictures listed in a row. However, Nick's last name is Andopolis, and Lindsay and Sam's last name is Weir, meaning they would have been in opposite ends of the yearbook. Also, Lindsay and Sam would not be placed near each other, as they are in different grades (she is a junior and he is a freshman).
The weathered and worn Pontiac Trans Am that Daniel Desario drives is a design that was available no earlier than 1979. Since the show takes place in 1980, it is highly unlikely that a high school student from a low-income family could afford what was then a fairly new car - and almost equally unlikely that it would look so aged within one year.
Nick Andopolis has Loverboy's "Get Lucky" LP and ZZ Top's "Eiliminator" LP in his room. Both albums were not released until 1981 and 1983 respectively.
When various characters enter the liquor store throughout the show, advertisements for Zima (a malt based alcoholic drink) and SoBe (an energy drink) are visible in the background. Both of these are quintessential late 90's brands and would not have been available in 1980.
Sam has a 1990's-era Detroit Pistons pennant hanging in his room. Sam has a 1990's-era Detroit Lions football helmet his room. Sam has a 1990's-era Detroit Tigers road cap in his room.
Many of the hairstyles/clothing/slang are of the present time (1999-2000) and not the correct time (1980-81).