Some other 1984 singles for your consideration (at least, 1984 is when they were released in the UK):
Cyndi Lauper - Girls Just Wanna Have Fun (83 in the US, I believe)
Billy Idol - Rebel Yell
Madonna - Holiday
Scritti Politti - Word Beez (Pray Like Aretha Franklin)
Spandau Ballet - Only When You Leave
Ollie & Jerry - Breakin' (There's No Stoppin' us)
China Crisis - Wishful Thinking
ABC - SOS
New Order - Thieves Like Us
The Smiths - What Difference Does It Make?
U2 - Pride
Shannon - Let the Music Play
Tears for Fears - Shout
Michael Jackson - Thriller (tied with Duran Duran's Wild Boys for my favourite pop video that year)
Pointer Sisters - Automatic
Bronski Beat - Smalltown Boy