Question: What influence did works based on the Faust such as Damn Yankees have over time?

Context paragraphs:
Damn Yankees: Damn Yankees is a musical comedy with a book by George Abbott and Douglass Wallop, music and lyrics by Richard Adler and Jerry Ross.  The story is a modern retelling of the Faust legend set during the 1950s in Washington, D.C., during a time when the New York Yankees dominated Major League Baseball.  It is based on Wallop's novel "The Year the Yankees Lost the Pennant".

Damn Yankees (film): Damn Yankees!  is a 1958 musical film made by Warner Bros. based on the 1955 Broadway musical of the same name.  The story is a modern take on the Faust legend involving the New York Yankees and Washington Senators baseball teams.

Works based on Faust: Faust has inspired artistic and cultural works for over four centuries.  The following lists cover various media to include items of historic interest, enduring works of high art, and recent representations in popular culture.  The entries represent works that a reader has a reasonable chance of encountering rather than a complete catalog.

Jerry Ross (composer): Jerry Ross (born Jerold Rosenberg; March 9, 1926 – November 11, 1955) was an American lyricist and composer whose works with Richard Adler for the musical theater include "The Pajama Game" and "Damn Yankees", winners of Tony Awards in 1955 and 1956, respectively, in both the "Best Musical" and "Best Composer and Lyricist" categories.

William and Jean Eckart: William and Jean Eckart were a husband-and-wife team of theatre designers in the 1950s and 1960s.  They designed sets, costumes, and lighting for many productions, including "Mame", "Here's Love", "Damn Yankees", "Once Upon a Mattress", "The Fig Leaves Are Falling", and "The Golden Apple".

Stanley Donen: Stanley Donen ( ; born April 13, 1924) is an American film director and choreographer whose most celebrated works are "Singin' in the Rain" and "On the Town", both of which he co-directed with actor and dancer Gene Kelly.  His other noteworthy films include "Royal Wedding", "Seven Brides for Seven Brothers", "Funny Face", "Indiscreet", "Damn Yankees! ", "Charade", and "Two for the Road".  He received an Honorary Academy Award in 1998 for his body of work and a Career Golden Lion from the Venice Film Festival in 2004.  He was hailed by film critic David Quinlan as "the King of the Hollywood musicals".  Donen married five times and had three children.  His current long term partner is film director and comedian Elaine May.

Works based on Alice in Wonderland: Lewis Carroll's books "Alice's Adventures in Wonderland" and "Through the Looking-Glass" have been highly popular in their original forms, and have served as the basis for many subsequent works since they were published.  They have been adapted directly into other media, their characters and situations have been appropriated into other works, and these elements have been referenced innumerable times as familiar elements of shared culture.  Simple references to the two books are too numerous to list; this list of works based on "Alice in Wonderland" focuses on works based specifically and substantially on Carroll's two books about the character of Alice.

Shaw Blades: Shaw–Blades is an American musical duo/group formed by Tommy Shaw of Styx and Jack Blades of Night Ranger, both of whom played in the supergroup Damn Yankees.  It is an informal duo which has produced two albums between other projects, 1995s "Hallucination" and 2007s "Influence".  The first two songs on "Hallucination" -- "My Hallucination" and "I'll Always Be with You"—received modest airplay.  "Influence" consisted solely of 1960s and 1970s cover songs that influenced them.  Blades' son Colin, an experimental songwriter himself, contributed backing vocals and arrangements to the album.  Shaw-Blades also recorded a cover of the classic Christmas song "The Twelve Days of Christmas" on the "A Classic Rock Christmas" album by various classic rock artists in 2002.  Shaw–Blades did a short tour of America in Spring 2007 and another in Autumn 2007.  Both members still principally record and perform with the acts which made them famous.

Damn Yankees (album): Damn Yankees was the eponymous debut album by the American hard rock supergroup Damn Yankees.  It is also notable for being the album that revived the career of guitarist Ted Nugent.  It went double platinum, and featured such chart topping hits as "High Enough", "Come Again", and "Coming of Age".

Russ Brown (actor): Russell Brown (May 30, 1892; Philadelphia, Pennsylvania – October 19, 1964; Englewood, New Jersey) was an American Tony Award-winning actor of stage and film.  Brown, a stage actor for decades, is best remembered by audiences as Captain Brackett in "South Pacific" (which he repeated in the movie version) and for his performances as 'Benny Van Buren' in the stage/film version of "Damn Yankees" in 1958, and the following year as park caretaker George Lemon in the classic courtroom drama, "Anatomy of a Murder" (1959).  For his stage performance in "Damn Yankees!" , he earned Broadway's Tony Award in 1956, as did actor Ray Walston, actress Gwen Verdon and her choreographer husband Bob Fosse, among others, all for the same Tony Award-winning musical.

Supporting paragraphs: Damn Yankees Works based on Faust
Answer: inspired artistic and cultural works