

I don’t know if this counts, but:
In the 80s, when horror movies were super popular, there was sort of a generic killer that was sometimes used to broadly reference the slasher movie: Hockey mask and chainsaw. The only two specific references I can think of off the top of my head were a Bloom County strip, and the Cape Fear episode of The Simpsons.
The hockey mask is obviously Jason Voorhees, but he never once used a chainsaw (unless he did in the remake, I haven’t seen it in a long time). The chainsaw was intended as a reference to Leatherface in The Texas Chain Saw Massacre. The closest thing that Jason ever used to a chainsaw was a gas-powered tree saw which is a circular blade on a long stem; he used this in Part 7. Jason used a lot of weapons, many of which were household appliances, but his signature weapon was a machete, not a chainsaw.
My favorites from that era were all horror-comedies. Leslie Vernon and Slither are good picks from this.
Have you seen Fido (2006)? Billy Connolly, Carrie-Anne Moss, Dylan Baker, Tim Blake Nelson, it’s a mashup of the old Lassie TV series and Night of the Living Dead, where zombies are domesticated and turned into free labor. I don’t think I’ve ever seen it brought up on horror forums so maybe it slipped through the cracks, idk.