In 1988 (two years before the book "Jurassic Park"), Topps came out with a card series called Dinosaurs Attack, about dinosaurs attacking people in the present day. The card pictured above shows that, no matter how deadly a dinosaur may be, it's still no match for the love between an old lady and her cats.
There's no trading card set dedicated to part I or part III, just this set from 1989 for Back to the Future Part II. Although if you really want a set of cards from part I, you could always take your Delorean back to 1985 and change things.
In addition to Alf cards with pictures from the TV show, Topps also made a series of U.S. of Alf cards, showing Alf visiting a different state. Which is weird, because shouldn't he be spending all his time hiding out from the government?
Topps issued these cards in 1991 to capitalize on the Gulf War. The cards were later featured in the movie "Garden State." Despite that endorsement, these cards are not as popular as the music of The Shins.
These cards honoring metal gods Megadeth, Metallica, Slayer, and Anthrax were printed by Revolver magazine in 2011, and were modeled after Topps' 1986 baseball cards. Perhaps they'll even inspire a new Megadeth song, "Metal Cards Sell (But Who's Buying?)"
In Rocky IV, Rocky defends the Russian fighter Drago, wins over the Russian fans, and basically ends the Cold War. Which meant the people of Russia could finally enjoy all the wonders of the Western world...such as these Rocky IV trading cards.
Wacky Packages cards, released off and on by Topps since 1967, feature spoofs of various consumer products. An unreleased Wacky Packages design in 1985 was spun-off to create the hugely successful Garbage Pail Kids.
In the mid-80's, Max Headroom was conceived as a computer generated TV host, and at the time seemed incredibly futuristic. He's kind of hard to explain if you weren't around at the time. Maybe this video will help.