These are a few of my favorite 80s one-hit wonders, as in having only one US Top-40 hit. They did have other hits in the Hot 100 or on the charts in other countries.
Van Stephenson - Modern Day Delilah (1984)
https://www.youtube.com/watch?v=3soJBmu_cFI
Double - The Captain Of Her Heart (1985)
https://www.youtube.com/watch?v=lBlx1JffMQ4
GTR - When The Heart Rules The Mind (1986)
https://www.youtube.com/watch?v=ARERFbiqCfk
Device - Hanging On A Heart Attack (1986)
https://www.youtube.com/watch?v=tqED_NN5o3Y
Living In A Box - Living In A Box (1987)
https://www.youtube.com/watch?v=mHzfhU8t5i8
Ahh GTR, when Genesis I believe have 5 related acts on the charts at the same time
Phil Collins still had a solo song on the charts
Peter Gabriel had Sledgehammer
Mike and The Mechanics had a song also charting
Then Invisible Touch came out
And then GTR.