On the school's East Campus is a motherhouse for a Dominican order of religious sisters.

[citation needed] The school won state championships in football in 2005, 2006, 2008, 2013, 2014 and 2022, with runner-up finishes in 1975, 1982, 1995, 2003, 2016 and 2021.

In soccer, Sacred Heart-Griffin claimed state crowns in 1998 and 2002 in addition to a runner-up finish in 1999.

In 2020, the boys basketball team reached the semi-finals of the boys state basketball tournament for the first time in school history only to have the last weekend of the tournament cancelled due to the Covid-19 Pandemic.

The Cyclones of Cathedral High School, an all-boys predecessor to SHG, won a Catholic State Championship in basketball in 1939.