There are a suprising number of films with archery, not usually central, but sometimes critical to the plots.
Robin Hood, all versions
Underworld, second one and I think first one, not just crossbows but catapults
Hero, with Jet Li. Amazing archery scenes
Lord of the Rings, all three films
Chronicals of Narnia
9, a short scene with a tiny crossbow
Van Helsing, a steampunk repeating crossbow
King Arthur, the recent one. Bows and gastrophetes
Lost Boys and Lost Boys 2
Deliverance
Avitar
Hunger Games
Predator, Arnold builds a panda bow
Scorpion King
Kingdom of Heaven
The Weatherman
Dances with Wolves
Rambo II - evil N. Vietnamse officer gets shot with exploding arrow
Omega Man - Charlton Heston version
Probably many more.