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.
South Wales Senior League was created in 1991.
Carillon Senior Hockey League was created in 2003.
National Senior Classical League was created in 1960.
Staffordshire County Senior League was created in 2005.
Gloucestershire Northern Senior League was created in 1922.
Hertfordshire Senior County League was created in 1898.
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.
All-Ireland Senior Football Championship was created in 1887.