Frank A. DeSimone, the Boss of the Los Angeles crime family from 1956 to 1967, had a well-known nephew who was an enforcer for what crime family?
Lucchese
Thomas DeSimone
Thomas Anthony DeSimone (May 24, 1950 – disappeared January 14, 1979), also known as Two-Gun Tommy, Animal or Tommy D, was a Sicilian-American gangster and associate of the Lucchese crime family in New York City, one of the Five Families of the American Mafia.
 DeSimone was a grandson and nephew of Los Angeles mob bosses Rosario and Frank DeSimone, respectively.
 He was married to Angelica "Cookie" Spione, but had many mistresses, including Theresa Ferrara.
 He is best known as the basis for Joe Pesci's character Tommy DeVito in Martin Scorsese's 1990 film "Goodfellas".
Frank DeSimone
Frank A. DeSimone (July 17, 1909 – August 4, 1967) was the Boss of the Los Angeles crime family from 1956 to 1967.
 DeSimone was the son of former don Rosario DeSimone.
 He was sometime referred to as "One Eye" because one of his eyes drooped.
 Frank DeSimone's well-known nephew, Thomas DeSimone, was an enforcer for the Lucchese crime family.
 He was also related to Simone Scozzari and Joseph Civello.
Los Angeles crime family
The Los Angeles crime family is an Italian American criminal organization based in California, as part of the American Mafia (or Cosa Nostra).
 Since its inception in the early 20th century, it has spread throughout Southern California.
 Like most Mafia families in the United States, the L.A. crime family gained power bootlegging during the Prohibition Era.
 The L.A. family reached its peak in the 1940s and early 1950s under Jack Dragna, who was on The Commission, although the L.A. family was never bigger than the New York or Chicago families.
 Since his death the crime family has been on a gradual decline, with the Chicago Outfit representing them on The Commission. William Grasso
William "Wild Guy" Grasso was an Italian-American gangster from East Haven, Connecticut who served as underboss to Raymond Patriarca, Jr. (a.k.a. "Junior") in the Patriarca crime family, also known as the New England crime family, the Providence crime family or the Boston crime family.
 The Patriarca family is a Mafia crime family based in New England.
 Succeeding his father Raymond L.S. Patriarca as boss after his father's death in 1984, Junior was considered a weak leader.
 He managed to keep the peace in his crime family due to the support of the Gambino crime family of New York.
 When Junior's original underboss Ilario "Larry Baione" Maria Antonio Zannino was sentenced to thirty years in prison in 1987, it further weakened Junior's position.
 With Zannino in jail, Grasso became underboss. Momo Adamo
Girolomo "Momo" Adamo (1895–1956) was an Italian American mobster in the American Mafia.
 He lived in Chicago and Kansas City before moving to Los Angeles in the 1930s and soon became underboss to Jack Dragna in the Los Angeles crime family.
 His brother Joseph Adamo was also a member of the crime family.
 Both he and his brother were well connected criminals in San Diego, working with such mobsters as Frank Bompensiero.
 In 1950, Momo was arrested along with several members of Jack Dragna's family including Tom Dragna (brother), Louis Dragna (nephew), and two men named Frank Paul Dragna (his son and nephew, respectively) after Jack fled the state after being named in the California Crime Commission report as a member of a crime syndicate in Los Angeles.
 The five of them were taken into custody by the Los Angeles Police Department, who believed they were responsible for bombing Mickey Cohen's home or knew who was.
 They were all released without being charged when the police couldn't find evidence of their involvement (Tom built the bomb, but otherwise none of them were involved). Joseph Dippolito
Joseph Charles Dippolito, also known as "Joe Dip", was an Italian American Mafia member in the Los Angeles crime family.
 The son of fellow Mafioso Salvatore Charles Dippolito (known as "Charlie Dip"), he rose to become underboss of the Los Angeles crime family.
 He was also featured in the book "The Last Mafioso" by Ovid Demaris. Simone Scozzari
Simone "Sam" Scozzari was a Sicilian mobster and a member of the American Mafia in Los Angeles.
 He served as a soldier in the Los Angeles crime family during the 1940s and 1950s.
 When Frank DeSimone became boss of the L.A. crime family in 1956, he promoted Scozzari underboss. Rosario DeSimone
Rosario DeSimone (December 11, 1873 – July 15, 1946), was the head of an Italian crime family during the 1920s to 1940s that was the predecessor to the Los Angeles crime family of the American Mafia.
 Rosario was the father of the future California mob boss, Frank DeSimone.
 Not to be confused with the Chicago Italian Timothy Rosario DeSimone. Jack Dragna
Jack Ignatius Dragna (April 18, 1891 – February 23, 1956) was an American Mafia member and Black Hander who was active in both Italy and the United States in the 20th century.
 He was active in bootlegging in California during the Prohibition Era in the United States.
 In 1931, he succeeded Joseph Ardizzone as the boss of the Los Angeles crime family after Ardizzone's mysterious disappearance and death in 1931.
 Both James Ragen and Earl Warren dubbed Dragna the "Capone of Los Angeles".
 Dragna remained the boss of the Los Angeles crime family from 1931 until his death in 1956. Frank Bompensiero
Frank "Bomp" Bompensiero (October 29, 1905 – February 10, 1977) was a Mafia hitman and longtime Caporegime in the Los Angeles crime family.
 In 1956, with the death of boss Jack Dragna, Bompensiero was demoted to the rank of soldier by the new boss, Frank DeSimone.
 He was the older brother of associate Salvatore "Sam" Bompensiero.
 Bompensiero made a name for himself for the many killings he committed on the orders of his superiors.
 Jimmy Fratianno, a close associate, once said that Bompensiero "had buried more bones than could be found in the brontosaurus room of the Museum of Natural History."