Click the picture to enlarge the screenshots:
To clarify on the screenshot showing battle damage, basically in the original game the damage numbers were animated to do a jump animation like in FF. This was scrapped in the remake to increase battle speed.
Among other differences, in the original game, once you beat the final boss, the game ends abruptly, saying the end. There is a New Game + feature like Chrono Trigger, though, which isn't in the remake. In the remake, the game continues for a bit with an extended ending. Also, in the original game, once you equipped a job, you could no longer switch back to the default class (which had no name)
And one other big difference are the magic spells, which also changes between the 2002 French and 2013 English versions:
2002 Original
-Mage Feu LV1 MP3 up to 495 fire damage Glace LV1 MP4 up to 695 non-elemental damage Foudre LV1 MP5 up to 891 non-elemental damage Cure LV1 MP6 heals up to 1089 HP -Super Mage Feu LV2 MP6 up to 1495 fire damage Glace LV2 MP7 up to 1881 non-elemental damage Foudre LV2 MP8 up to 2277 non-elemental damage Cure LV2 MP9 heals up to 9801 HP -Dark Paladin Holy LV1 MP9 up to 2970 non-elemental damage Dark LV1 MP12 up to 3564 non-elemental damage Dark LV2 MP15 up to 4158 non-elemental damage Holy LV2 MP18 up to 4752 non-elemental damage -Maître Flash LV1 MP3 up to 795 non-elemental damage Flash LV2 MP9 up to 2385 non-elemental damage Mini MP10 Damage is entirely based on how much HP/MP you have left XFlare MP35 up to 9999 flare damage -Combattant: 2X damage by regular attacks -Bargainier: Reduces item cost by half | 2013 English version
-Mage Fire MP3 up to 495 fire damage Ice MP4 up to 695 non-elemental damage Bolt MP5 up to 891 non-elemental damage Heal MP6 heals up to 1089 HP -Super Mage Flare MP6 up to 1495 fire damage Blizzard MP7 up to 1881 non-elemental damage Blitz MP8 up to 2277 non-elemental damage Cure MP9 heals up to 9801 HP -Dark Paladin Holy MP9 up to 2970 non-elemental damage Dark MP12 up to 3564 non-elemental damage Evil MP15 up to 4158 non-elemental damage Angel LV2 MP18 up to 4752 non-elemental damage -Master Aura LV1 MP3 up to 795 non-elemental damage Flash LV2 MP9 up to 2385 non-elemental damage Mini MP10 Damage is entirely based on how much HP/MP you have left X-Flare MP35 up to 9999 flare damage -Warrior: 2X damage by regular attacks -Bargainer: Reduces item cost by half | First Fantasy
-Fighter: Regular attacks never miss -Mage: Fire MP7 Fire element damage Ice MP8 Ice element damage Bolt MP9 Bolt element damage Heal MP14 heals some HP -Wizard: Flare MP15 2X Fire element damage Blizzard MP17 2X Ice element damage Poison MP19 Causes poison on enemy and non-elemental damage Cure MP35 Heals even more HP -Dark Paladin: Holy MP23 Holy element damage Dark MP26 Dark element damage Psy MP29 Absorbs HP via dark element damage Angel MP32 2X Holy element damage -Master: Aura MP10 Ice Bolt Dark Holy damage based on how many HP and MP you have left. Blitz MP39 2x Bolt element damage Mini MP45 Always do 1337 damage (non-elemental) Omega MP99 Ultimate, non-elemental spell -Warrior: 2X damage by regular attacks -Thief: Gains 2X gold every battle -????: Can use any magic spell in the game as long as you have the original jobs required for them |
-Herbe: Restore 500 HP -Noix: Restore 100 MP -Potion: Restore 5000 HP -Ether: Restore 999 MP | -Herb: Restore 500 HP -Nut: Restore 100 MP -Potion: Restore 5000 HP -Ether: Restore 999 MP | -Herb: Cure poison and heals 500 HP -Walnut: Restore 100 MP -Potion: Restore 7000 HP -Ether: Restore 999 MP |