In case people were disinterested in clicking on the link:

アーマーキラー (Armorslayer): 9 Mt / 95 Hit / 0 Crit / 0 Avo / 1 range / D-rank Sword / 2500 G Effective against armored units. "Weak against others" (whatever that means...?)

ドラゴンキラー (Wyrmslayer): 9 Mt / 95 Hit / 0 Crit / 0 Avo / 1 range / D-rank Sword / 2500 G Effective against dragon units. "Weak against others"

キルソード (Killing Edge): 6 Mt / 85 Hit / 25 Crit / -10 Avo / 1 range / C-rank Sword / 3000 G Does massive damage on a critical hit.

サンダーソード (Levin Sword): 11 Mt / 80 Hit / 0 Crit / -20 Avo / 1-2 range / C-rank Sword / 3300 G Magic-based weapon / Cannot critical.

青銅の槍 (Bronze Lance): 5 Mt / 90 Hit / 0 Crit / 0 Avo / 1 range / E-rank Lance / 500 G Critical evade +10 / Cannot critical.

鉄の槍 (Iron Lance): 7 Mt / 80 Hit / 0 Crit / 0 Avo / 1 range / D-rank Lance / 1000 G Standard lance.

鋼の槍 (Steel Lance): 10 Mt / 75 Hit / 0 Crit / -5 Avo / 1 range / C-rank Lance / 2000 G Double attack threshold -3 (i.e. you need 3 more speed than usual to double)

銀の槍 (Silver Lance): 14 Mt / 80 Hit / 0 Crit / 0 Avo / 1 range / B-rank Lance / 4000 G After battle, Str/Skl -2 until end of turn

手槍 (Javelin): 6 Mt / 75 Hit / 0 Crit / 0 Avo / 1-2 range / D-rank Lance / 1800 G Cannot double attack / Receiving double attack threshold -5 (i.e. enemy needs 5 less speed than usual to double you) / Cannot critical

武者の刀 (Warrior Katana): 9 Mt / 90 Hit / 0 Crit / -20 Avo / 1 range / A-rank Katana / 8000 G When counterattacking, this weapon's Mt is doubled (I'm guessing "counterattack" means on Enemy Phase?)

小太刀 (Short Sword): 5 Mt / 85 Hit / 0 Crit / 0 Avo / 1-2 range (!!) / D-rank Katana / 1800 G Cannot double attack / Receiving double attack threshold -5 (i.e. enemy needs 5 less speed than usual to double you) / Cannot critical

飛刀 (Flying Sword? I think this is a Chinese thing - Feidao): 10 Mt / 75 Hit / 0 Crit / -10 Avo / 2 range (o_O) / B-rank Katana / 4500 G Cannot double attack / Receiving double attack threshold -5

斧斬りの刀 (Axeslayer Katana): 7 Mt / 75 Hit / 0 Crit / -10 Avo / 1 range / D-rank Katana / 3400 G Effective against axes. "Weak against others"

逆刀 (Reverse Katana): 8 Mt / 75 Hit / 5 Crit / 0 Avo / 1-range / C-rank Katana / 4000 G Reverses the Weapon Triangle and doubles the effects of this reversal.

居合刀 (Iai Katana): 6 Mt / 80 Hit / 0 Crit / 0 Avo / 1-range / C-rank Katana / 2700 G Speed +5, Def/Res -1 (Note: I believe iai refers to the fighting style involving resheathing your sword after cutting someone down, similar to Lyn's sword animation in FE7)

霊刀 (Spirit Katana): 5 Mt / 80 Hit / 0 Crit / 0 Avo / 1-range / C-rank Katana / 2200 G Effective against monsters / Recover some HP every turn / Def/Res -4

青銅の薙刀 (Bronze Naginata): 4 Mt / 90 Hit / 0 Crit / 0 Avo / 1-range / E-rank Naginata / 500 G Critical evade +10 / Cannot critical

鉄の薙刀 (Iron Naginata): 6 Mt / 80 Hit / 0 Crit / 0 Avo / 1-range / D-rank Naginata / 1000 G Def/Res +1

鋼の薙刀 (Steel Naginata): 9 Mt / 75 Hit / 0 Crit / -5 Avo / 1-range / C-rank Naginata / 2000 G Double attack threshold -3

銀の薙刀 (Silver Naginata): 13 Mt / 80 Hit / 0 Crit / 0 Avo / 1-range / B-rank Naginata / 4000 G After battle, Str/Skl -2 until end of turn

武者の薙刀 (Warrior Naginata): 9 Mt / 90 Hit / 0 Crit / -20 Avo / 1-range / A-rank Naginata / 8000 G When counterattacking, this weapon's Mt is doubled

剣薙ぎの薙刀 (Swordslayer Naginata): 7 Mt / 65 Hit / 0 Crit / -10 Avo / 1-range / D-rank Naginata / 3400 G Effective against swords. "Weak against others"

逆薙刀 (Reverse Naginata): 8 Mt / 65 Hit / 5 Crit / 0 Avo / 1-range / C-rank Naginata / 4000 G Reverses the Weapon Triangle and doubles the effects of this reversal.

守りの薙刀 (Protecting Naginata): 5 Mt / 75 Hit / 0 Crit / -10 Avo / 1-range / C-rank Naginata / 2700 G Def/Res +5 when equipped

神雷の薙刀 (God Thunder? Naginata): 11 Mt / 70 Hit / 0 Crit / -20 Avo / 1-2 range / C-rank Naginata / 3300 G Magic-based weapon / Cannot critical.

EDIT: Missed a few

スレンドスピア (Spear): 12 Mt / 65 Hit / 0 Crit / -10 Avo / 2 range / B-rank Lance / 4500 G Cannot double attack / Receiving double attack threshold -5

ビーストキラー (Beast Killer): 10 Mt / 85 Hit / 0 Crit / 0 Avo / 1 range / D-rank Lance / 2500 G Effective against beasts/mounted units. "Weak against others"

キラーランス (Killer Lance): 7 Mt / 75 Hit / 25 Crit / -10 Avo / 1 range / C-rank Lance / 3000 G Does massive damage on a critical hit.

聖なる槍 (Blessed Lance): 6 Mt / 70 Hit / 0 Crit / 0 Avo / 1 range / C-rank Lance / 2200 G Effective against monsters / Recover some HP every turn / Def/Res -3

青銅の斧 (Bronze Axe): 6 Mt / 80 Hit / 0 Hit / 0 Avo / 1 range / E-rank Axe / 500 G Critical evade +10 / Cannot critical

鉄の斧 (Iron Axe): 8 Mt / 70 Hit / 0 Hit / 0 Avo / 1 range / D-rank Axe / 1000 G Standard axe

鋼の斧 (Steel Axe): 12 Mt / 65 Hit / 0 Hit / -5 Avo / C-rank Axe / 2000 G Double attack threshold -3