Location of Demon Dagger (with exception of the Skeleton/Magicmas bit), Kaiser Knuckle, and Death Bow are credited to Drag; location of Nine Tail Whip is credited to Phoenix.

Daggers

Silver Dagger -- Sacred
North Dagger -- Cold-based
Shadow Dagger -- Casts Idle
King of Dagger -- Casts Defense Up?; Tolen game or Baretta
Demon Dagger -- most powerful dagger; dropped by Lyvermas, Kimarias (outside Gate), Sheefs (Thieve's Tomb), Skeletons/Magicmas combo (Infinity)

Rings

Fire Ring -- Fire based, casts Spark
Hush Ring -- Casts Hush
Storm Ring -- Electricity based, casts Thunder
Worth Ring -- Casts Death; Marinero
Immortal Ring -- Casts Renew

Rapiers

Sole Sword -- Sacred, Toasted
Elmore Sword -- Sacred
Thunder Rapier -- Electricity based
Holy Rapier -- Sacred
No Twin Rapier -- Sacred, casts Angel, strongest rapier; dropped by Night Riders (Night Rider Island)

Bows

Twin Bow -- two attacks
Fire Bow -- fire based
Ice Bow -- cold based
Auto Bow -- each foe is attacked once
Buster Bow -- casts Bomb
Death Bow -- strongest bow; Baretta

Knuckles

Buster Knuckle -- casts Bomb
Final Knuckle -- Toasted
Kaiser Knuckle -- strongest knuckle; Baretta

Staffs

Heat Staff -- Fire based
Tiger Staff -- Electricity based?, casts S. Boom?; won in Tolen game
Brass Staff -- Casts Cure1; Maniro
Meow Staff -- strongest staff; dropped by Carms (Infinity)

Lop Off Whip -- Toasted; dropped by the boss in Gandaroof's mind, or Maniro
Nine Tail Whip -- strongest whip; dropped by Zodiacs.  To find a Zodiac, enter the vast room at the end of Infinity and head south.  Go through the exit, and hang around in this room until one appears.  It's a rare and strong monster, and it'll take you many fights before it'll yeild this prize.

Flame Sword -- fire based
Tiger Sword -- Casts Cure2?
Empire Sword -- Electricity based, casts S. Boom, strongest sword; found at a fishing spot east of Township (Must have the Great Bird to reach it)
Dragon Sword -- Fire based, casts Flame

Sacred means it does extra damage to Undead, and full damage to foes that normally take half damage from attacks.
Toasted means that it can instantly kill an enemy.
? indicates that either I'm not sure or I can't be sure, since I've only heard of this item (tiger sword and tiger staff).
Baretta means you can buy if from Baretta right before the fall of Evrai  (King of Daggers) or after the fall of Evrai (Death Bow, Kaiser Knuckle).  You must gotten Baretta BEFORE certain events take place in order for her to sell any of those.  To be safe, you should get her as soon as possible.  No point in leaving house 3 empty for most of the game.
Maniro means that the only sure way to get this item is to buy it from him; no stores sell it.

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