In September 2001, "Ironic" was listed as "one of the songs deemed inappropriate due to its lyrics" by American mass media company Clear Channel Communications, after the September 11 attacks occurred. The song was included on the set list of her Jagged Little Pill World Tour (1995), and her compilation albums "MTV Unplugged" (1999), (2005), among others. The song was covered by Mexican duet Jesse & Joy for their album "Esta Es Mi Vida Sesiones" (2007), and by American band Four Year Strong for their cover album "Explains It All" (2009).