In Ocarina of Time you receive the quiver upgrade by winning the Kakariko shooting gallery or the Gerudo horseback shooting game.
In Majora's Mask the quiver can be upgraded by winning the shooting gallery in the swamp or clock town
In windwaker it can be upgraded by the fairies on western fairy isle or thorned fariy isle
In Twilight Princess The quiver is upgraded by winning the star game
In Phantom Hourglass you can buy upgrades or win an upgrade from the shooting gallery on Molida Island
These are all Legend of Zelda games in order of release date hope it helps