Belligerent Sexual Tension/Theatre

Older Than Steam: The classical Western theatre example is Beatrice and Benedick from Shakespeare's Much Ado About Nothing. Don't pretend you didn't see that coming.
Some productions of The Taming of the Shrew play Katherine and Petruchio this way.
The musical Anne & Gilbert, inspired by Anne of Green Gables makes the title pair into this.
Both Glinda/Fiyero and Elphaba/Fiyero in Wicked have elements of this, even though Fiyero is only a very light Jerk with a Heart of Gold.
- Even stronger with Elphaba and Glinda
  - The song "What is This Feeling" is this trope.
Betty/Rizzo and Kenickie from Grease (both musical and film), doubling as the Beta Couple to Sandy and Danny.
Fred and Lilli in Kiss Me Kate. They're also playing Katharine and Petruchio in a musical The Taming of the Shrew.
Amalia and Georg in She Loves Me — at least in person.