With the 1969-70 Topps Basketball set being released, Topps now had all four major sports under its belt. Topps for one year in 1957 had all four sports but it let basketball cards go. Topps would have all four sports for 13 consecutive years until not producing a Topps Basketball and Hockey set in 1982-83. This would usher in the golden age of sports collecting in the 1970s.
The sports collecting world became so convoluted in the 1990s and 2000s that I cant say for sure that any one brand held all for sports for more than 13 years, Like the Topps brand did in the 70s. Upper Deck may hold the record but I am not sure.