There are not many of these called out by name in the rules. Here are all I have found or remembered. What have I missed?
-Strength: breaking items, resisting great winds, breaking certain forms of entanglement
-Dexterity: initiative, untrained slight of hand?
-Constitution: heal when disabled, stabilize when dying, holding breath, forced movement, chases, starvation, thirst, suffocation, drowning
-Intelligence: contact other plane spell
-Wisdom: animal using hunt trick if untrained in survival, detect poison spell, sailing checks
-Charisma: implanting ioun stones, dealing with called creatures, certain enchantment spells, controlling a berserk flesh golem