Consider eclipse:

to cause an eclipse of: such as a : OBSCURE, DARKEN b : to reduce in importance or repute c : SURPASS

Surpass is relevant here. In essence, the automobile overshadows its earlier form. It's not that the horse and buggy is dead. It's that it has been effectively replaced as the dominant mode of travel.

The automobile eclipsed the horse and buggy.

Consider eclipse:

to cause an eclipse of: such as 
a : OBSCURE, DARKEN 
b : to reduce in importance or repute 
c : SURPASS

Surpass is relevant here. In essence, the automobile overshadows its earlier form. It's not that the horse and buggy is dead. It's that it has been effectively replaced as the dominant mode of travel.

The automobile eclipsed the horse and buggy.