Here's a list, will update if I work out the changes to the rest.
Paladin
Riot Blade: tp cost reduced to 60
Shield Swipe: additional effect enmity added
Shield Oath: 5% accuracy bonus added
Warrior
Defiance: 5% accuracy bonus added
Wrath: 2% crit per stack changed to 2% parry
Monk
Featherfoot: ???
Demolish: 18 seconds increased to 21
Shoulder Tackle: minimum range removed
Dragoon
Heavy Thrust: Time increased from 21 seconds to 24 seconds.
Life Surge: Only works on weaponskills so it doesn't work on jumps anymore.
Phlebotomize: DoT increased from 21 seconds to 24 seconds
Ninja
Shade Shift: replaced perfect dodge, prevents damage up to 20% of Max hp
Aeolian Edge: rear positional added
Bard
Mage's Ballad: 20% damage reduction lowered to 15%
Barrage: effect overhaul, no longer affects auto attacks instead makes next skill hit 3 times
Army's Paeon: same as ballad
Rain of Death: changed to job ability that shares a recast with bloodletter
Black Mage
Blizzard: potency increased by 10
Fire: potency increased by 10
Fire II: ???
Manawall: effect changed to be similar to manaward
Flare: additional mobs hit by move after the first take reduced damage
Summoner
Miasma: disease changed to new effect, move essentially the same though
Bane: 4 limit has been removed but DoT potency reduced on additional targets after the 4
Miasma II: same as miasma
Enkindle: recast reduced
Mountain Buster: range increased
Flaming Crush: range increased
Radiant Shield: made into AoE
White Mage
Stone: ???
Protect: Now increases magic defence without trait, Proshell replaced with enhanced medica
Stone II: ???
Presence of Mind: no longer increases spell speed but grants haste
Stoneskin: graniteskin replaced with quick stoneskin
Holy: additional targets after the first take reduced damage
Aero II: ???
Stoneskin II: same as stoneskin
Scholar
Lustrate: now a 600 potency cure and can crit
Fey Light: replaced
Fey Glow: replaced