RPG Insanity

HR = High Rare   SR = Super Rare   UR = Ultra Rare    ? = unknown

Sword 

HR Laundry Pole (Normal Attacks target a row. STR 15% up)
HR Dynamic Knife (Normal Attack damage is divided into 4-hits. STR 20% up)
SR Railroad Sword (nullifies parameter reducing effects in battle. INT 25% up)
SR Long Edge (Normal Attacks reduce INT, DEF & SPD. STR 30% up)
UR Phoenix Sword (?)
UR Ultima Blade (Damage x2 for critical attacks, STR 50% up)

Hammer

HR Gold Hammer (adds a 20% gold bonus on the result screen. STR 15% up)
HR Delkiutz (Normal attacks slightly delay a target's actions. STR 20% up)
SR Bunyan Axe (Damage x2 for titan class monsters. STR 25% up)
SR Wrecking Ball (?)
UR Demon Basher (Damage up 40% for successfully landed blows  up to 5 times. STR 40% up)
UR Forseti's Axe (Physical skill damage x1.5. STR 50% up)

Rod

HR Feline Rod (Damage up to 15% for each anima on team. INT 15% up)
HR Helianth Rod (Halves rate of receiving abnormal status. INT 20% up)
SR Dodging Rod (Evades all normal attacks from enemies. INT 25% up)
SR Banishing Rod (Damage x2 for ghost class enemies)
UR Yggdrasil Rod (learned magic skill use increases by 1. INT 40% up) note: only raise hero not companions
UR Vanargand (Magic skilled damage x 1.5. INT 50% up)

Armor

Archfiend Mantle Def 200 (Magical damage received is halved. Self: all parameters up 5%)
Archfiend Mask Def 75(Physical damage received is halved. Self: all parameters up 3%)
Celestial Armor Def ?(Recovery 30% HP each turn) got this info from islandi , thanks bro
Celestial Helmet Def ?(?)

@rpgaddict / Luther,

The full info for:

Phoenix Sword
UR
ATK 45
Normal attacks against wind-class enemies with no resistance are cursed.
INT 40% up.

Celestial Armor
SR
Def 200
Restores 30% HP each turn.
Self: All parameters up 5%.

No luck in acquiring Celestial Helmet yet.