Quick answer — Kalafina performed 4 anime themes, including "Hikari no Senritsu" from Sound of the Sky, "Kalafina - Believe" from Fate/stay night: Unlimited Blade Works, "ring your bell" from Fate/stay night: Unlimited Blade Works 2nd Season.
Kalafina performed the anime theme songs "Hikari no Senritsu" (Sound of the Sky), "Kalafina - Believe" (Fate/stay night: Unlimited Blade Works), "ring your bell" (Fate/stay night: Unlimited Blade Works 2nd Season), "to the beginning" (Fate/Zero Season 2).
Kalafina's first listed anime theme is "Hikari no Senritsu", the opening of Sound of the Sky.
