I think the OP nails it with "Don't You Forget About Me."
However, I'll throw in two for "honorable mention"
"Don't You Forget About Me" is the quintessential 80s song, but Talking Heads is the quintessential 80s band.
To me, the ultimate 80s music video. "Big Time" is just a wild hodge-podge of claymation and crazy shots, a snapshot of how every director was trying to push experimental limits with videos of rock songs. I like it a little better than "Sledgehammer" because that song is subtle as a train wreck. "Big Time" isn't subtle, either, but it isn't busy trying to see how many innuendos it can fit into any given second. I don't think they spent the outrageous budgets that "Thriller" or "Beat It" did, but they came up with a wilder, more memorable product IMHO.