I know, it may turn out SE just feeds us the answer in the future, but I thought the discussion and history of the weapons was kina cool and I like compiling stuff.
Underneath is listed their stats and history in the Final Fantasy series. I made the history based off their JP names since they're more likely to match as translations have changed a lot of equipment names over here. I tried to list the most significant match in terms of power or legendary status.
- Burning Fists - バーニンナックル - Burning Kunckles
H2H D+16 Delay+96
Lv75 MNK
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FF6 バーニンナックル - Strongest merchant-sold fists. Fire element and sometimes casts Fire.
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[/*:m:c8d11]- Inferno Claws - 地獄の爪 - Hell Claws
H2H D+15 Delay+49
Lv75 PUP
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FF3 - (地獄の爪 only) Strongest claws available. Their element was Dark and they caused Poison effect on enemies.
Inferno Claws - ???
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[/*:m:c8d11]- Swordbreaker - ソードブレイカー - Sword Breaker
Dagger D27 Delay 200
Lv75 THF
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FF6 - Strongest merchant-sold dagger. It's jagged edge helps evade enemy attacks.
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[/*:m:c8d11]- Dancing Dagger - ダンシングダガー - Dancing Dagger
Dagger D27 Delay 183
Lv75 BRD
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FF4 - Strongest merchant-sold dagger
FF5 - [Dance] effect, Speed +1, Magic +1
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[/*:m:c8d11]- Vorpal Sword - シャープソード - Sharp Sword
Sword D39 Delay 224
Lv75 RDM
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FF1 - No special properties or high stats. Significance is probably in that the sword was for Red Mages
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[/*:m:c8d11]- Wightslayer - ワイトスレイヤー - Wightslayer
Sword D41 Delay 236
Lv75 BLU
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FF3 (ワイトスレイヤー only) - Weak sword, did high damage to undead. An oddly exclusive sword however, available to Red Mage and the "generic" classes Freelancer/Onion Knight. Strangely, the only weapon with no historical connection to the job it's for. Warrants more research.
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[/*:m:c8d11]- Brave Blade - ブレイブブレイド - Brave Blade
Sword D44 Delay 264
Lv75 PLD
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FF5 - The strongest sword in the game at and attack power of 150, if you refrain from escaping battles.
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[/*:m:c8d11]- Double Axe - ダブルハーケン - Double Piton
Axe D46 Delay 312
Lv75 BST
NOTE: A Piton is a metal climbing tool. I had to look it up...lol
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FF3 (ダブルハーケン only) - The strongest Axe available in the game. Lightning element
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[/*:m:c8d11]- Sturdy Axe - 魔神の斧 - Genie Axe OR Devil Axe
Great Axe D87 Delay 504
Lv75 WAR
NOTE: Devil matches with Hell Claws or Hades Sainti but the middle Eastern theme matches with Genie, so who knows)
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This one was tough... as 魔神の斧, it's a legendary weapon from the Dragon Quest series. Best I could find...
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[/*:m:c8d11]- Death Sickle - デスシックル - Death Sickle
Scythe D90 Delay 528
Lv75 DRK
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FF5 (デスシックル only) - Middle of the road scythe, but has additional effect: Death
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[/*:m:c8d11]- Radiant Lance - グローランス - Glow Lance
Polearm D90 Delay 492
Lv75 DRG
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FF6 (グローランス only) - Second strongest lance, raised all stats
FF7 - Weapon for Cid, nothing special about it
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[/*:m:c8d11]- Sasuke Katana - 佐助の刀 - Sasuke Katana
Katana D33 Delay 227
Lv75 NIN
NOTE: Sasuke is the name of a legendary ninja. No, not Uchiha Sasuke...
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FF5 - Strongest katana in the game, legendary weapon
FF6 - Run-of-the-mill katana
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[/*:m:c8d11]- Windslicer - 風切りの刃 - Wind-cutting Blade
Great Katana D76 Delay 450
Lv75 SAM
Also known as Kazekiri
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FF5 & FF6 - Average katana, casts wind-based spell as additional effect
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[/*:m:c8d11]- Werebuster - ウェアバスター - Werebuster
Club D29 Delay 267
Lv75 WHM
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FF1 & FF2 - Club that does high damage to were-types. Strangely enough, White Mage could not equip it in FF1.
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[/*:m:c8d11]- Mage's Staff - 魔道士の杖 - Mage's Staff
Staff D55 Delay 402
Lv75 BLM
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FF9 (魔道士の杖 only) - Vivi's initial weapon
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[/*:m:c8d11]- Scepter Staff - 錫杖 - Tin(Decorated) Wand
Staff D55 Delay 402
Lv75 SMN
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This was another tough one... couldn't find much besides a few games having a something-something錫杖. Yuna's weapons are referred to generically as 錫杖, so perhaps it's just a typical wand for Summoner use.
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[/*:m:c8d11]- Quicksilver - クイックシルバー - Quicksilver
Marksmanship D31 Delay 480
Lv75 COR
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FF7 - Vincent's starting weapon
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[/*:m:c8d11]- Killer Bow - キラーボウ - Killer Bow
Marksmanship D36 Delay 288
Lv75 RNG
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An average bow among several FF games, most significant being in FF5, where it provides a higher critical hit rate.[/*:m:c8d11]