Lana del Rey, whose vintage style inspired soft grunge
Soft grunge is an aesthetic that rose to prominence on Tumblr under the tags 'soft grunge', 'coquette', 'lizzy grant aesthetic' and others. It's closely related to 2014-era tumblr. This aesthetic takes the edgier, more rough side of grunge and other more hardcore aesthetics, and combines them with the softer, more romantic and feminine aspects of Coquette--also known as Nymphet-- and related styles.
It's also influenced by the "heroin chic" style of the 1990s, and, as the name states, Grunge.
Music
Soft grunge aesthetic is influenced by a lot of music. It's common to see a lot of influence from Lana del Rey and similar artists, as her music especially defines the soft and coquette-based aspects of this aesthetic. We also obviously see a very big Grunge influence, as well as other 90s bands/artists falling under the same sort of umbrella.
Albums
Ultraviolence by Lana del Rey
Live Through This by Hole
Nevermind by Nirvana
Electra Heart by Marina and the Diamonds
AM by Arctic Monkeys
Born to Die by Lana del Rey
Tragic Kingdom by No Doubt
Movies
Girl, Interrupted (1999)
Lolita (1997)
Pulp Fiction (1994)
Models
Kate Moss
Alana Champion
Lily-Rose Depp