London Minor Cup or London Youth Cup
From TheChels.info - The Chelsea Football Club Wiki
Between 1947/48, when the Chelsea Youth team was formed, and until 1971/72 the club entered the London ‘Youth’ Cup.  It would seem that this may have had two different names, but would appear to have been the same competition.  
 Between 1947/48 and 1962/63, plus the 1969/70 and 1970/71 seasons the competition was called ‘’’The London Minor Cup’’’; however, between 1963/64 and 1968/69, together with the 1971/72 season the competition was called ‘The London Youth Cup’’’. 
  For ease, I am going to refer to the competition, in both forms, as ‘’’London Youth Cup’’’. 
  Chelsea were to win the competition on eight occasions, including a hat-trick between 1952/53 and 1954/55.  They were also losing finalists on a further five occasions. 
  Unfortunately little information is known about line-ups up to 1954/55, just a few being known, but here are all of the details known about matches in this competition.
Campaigns
- 1947-48
 - 1948-49
 - 1949-50 - Winners
 - 1950-51
 - 1951-52
 - 1952-53 - Winners
 - 1953-54 - Winners
 - 1954-55 - Winners
 - 1955-56
 - 1956-57
 - 1957-58
 - 1958-59 - Winners
 - 1959-60
 - 1960-61 - Winners
 - 1961-62 - Winners
 - 1962-63
 - 1963-64
 - 1964-65
 - 1965-66
 - 1966-67
 - 1967-68
 - 1968-69 - Winners
 - 1969-70
 - 1970-71
 - 1971-72
 
Matches