Ulster Senior League - association football - was created in 1986.
Essex Senior Football League was created in 1971.
Senior Professional Baseball Association was created in 1989.
BFA Senior League was created in 1990.
Leicestershire Senior League was created in 1896.
Gloucestershire Northern Senior League was created in 1922.
Carillon Senior Hockey League was created in 2003.
National Senior Classical League was created in 1960.
Staffordshire County Senior League was created in 2005.
Hertfordshire Senior County League was created in 1898.
South Wales Senior League was created in 1991.
According to Soccerway.com the top division is the BFA Senior League, so I am guessing the BFA stands for Bahamas Football Association and this is the answer.
St Mary's Senior Football Club was created in 2009.