Your EQ affects the speed of only idle experience gained. Below is a list of items.

Demon Helmet Helmets
Crusader Helmet
Crusader Helmet +1% idle exp
(Arm:8). It weighs 52.00 oz.
Helmet of the Ancients
Helmet of the Ancients +1% idle exp
(Arm:8).It weighs 27.60 oz.
Royal Helmet
Royal Helmet +1% idle exp
(Arm:9). It weighs 48.00 oz.
Skull Helmet
Skull Helmet +1% idle exp
(Arm:9).It weighs 42.00 oz.
Demon Helmet
Demon Helmet +2% idle exp
(Arm:10). It weighs 29.50 oz.
Golden Helmet
Golden Helmet +3% idle exp
(Arm:12). It weighs 32.00 oz. Rare item. Look here.
Golden Armor Armor
Blue Robe
Blue Robe +1% idle exp
(Arm:11). It weighs 22.00 oz.
Crown Armor
Crown Armor +1% idle exp
(Arm:13). It weighs 99.00 oz.
Golden Armor
Golden Armor +1% idle exp
(Arm:14). It weighs 80.00 oz.
Focus Cape
Focus Cape +1% idle exp
It can only be wielded properly by druids and sorcerers. It weighs 23.00 oz. Available in custom quest. Look here.
Paladin Armor
Paladin Armor +1% idle exp
(Arm:12, distance fighting +2). It can only be wielded properly by paladins. Available in custom quest. Look here.
Dragon Scale Mail
Dragon Scale Mail +1% idle exp
(Arm:15).It weighs 114.00 oz.
Demon Armor
Demon Armor +2% idle exp
(Arm:16). It weighs 80.00 oz.
Magic Plate Armor
Magic Plate Armor +2% idle exp
(Arm:17). It weighs 85.00 oz.
Legs Icon Legs
Crown Legs
Crown Legs +1% idle exp
(Arm:8). It weighs 65.00 oz.
Golden Legs
Golden Legs +2% idle exp
(Arm:9). It weighs 56.00 oz.
Demon Legs
Demon Legs +3% idle exp
(Arm:9). It weighs 70.00 oz.
Boots of Haste Boots
Boots of Haste
Boots of Haste +1% idle exp
(speed +20). It weighs 7.50 oz.
Steel Boots
Steel Boots +1% idle exp
(Arm:3). It weighs 29.00 oz.
Idle Soft Boots
Idle Soft Boots +2% idle exp
With PoI you will get the usual softboots for manual play and another one for idle.
Amulets Icon Amulets
Amulet of Loss
Amulet of Loss +1% idle exp
Protects the backpack and items from loss in case of death.
Ferumbras Amulet
Ferumbras Amulet +3% idle exp
(Arm:2). Rare item. Look here.
Rings Icon Rings
Ring of the Sky
Ring of the Sky +1% idle exp
The ring drops from Warlocks.
Ruby Ring
Ruby Ring +2% idle exp
Available in custom quest. Look here.
Mastermind Shield Shields
Vampire Shield
Vampire Shield +1% idle exp
(Def:34). It weighs 38.00 oz.
Demon Shield
Demon Shield +1% idle exp
(Def:35). It weighs 26.00 oz.
Mastermind Shield
Mastermind Shield +2% idle exp
(Def:37). It weighs 57.00 oz.
Tempest Shield
Tempest Shield +2% idle exp
(Def:36). It weighs 51.00 oz. Rare item. Look here.
Nightmare Shield
Nightmare Shield +3% idle exp
(Def:37).It weighs 32.00 oz. Available in custom quest. Look here.
Necromancer Shield
Necromancer Shield +3% idle exp
(Def:37). It weighs 32.00 oz. Available in custom quest. Look here.
Spellbook of Dark Mysteries
Spellbook of Dark Mysteries +2% idle exp
(Def:16, magic level +3). It can only be wielded properly by druids and sorcerers. Available in custom quest. Look here.
Blessed Shield
Blessed Shield +4% idle exp
(Def:40). It weighs 68.00 oz. Available in custom quest. Look here.
Swords Icon Swords
Bright Sword
Bright Sword +1% idle exp
(Atk:36, Def:30). It weighs 29.00 oz.
Each sword, axe, and club above 44 ATK adds +1% idle exp
The Avenger
The Avenger +2% idle exp
(Atk:50, Def:38). It can only be wielded properly by knights of level 75 or higher. It weighs 64.00 oz.
Magic Sword
Magic Sword +2% idle exp
(Atk:48, Def:35 +3). It weighs 42.00 oz.
Emerald Sword
Emerald Sword +3% idle exp
(Atk:49, Def:33 +3). It weighs 41.00 oz.Available in custom quest. Look here.
Axes Icon Axes
Naginata
Naginata +1% idle exp
(Atk:39, Def:25). It weighs 78.00 oz.
Each sword, axe, and club above 44 ATK adds +1% idle exp
Stonecutter Axe
Stonecutter Axe +2% idle exp
(Atk:50, Def:30 +3). It can only be wielded properly by players of level 90 or higher. It weighs 99.00 oz.
Hellforged Axe
Hellforged Axe +3% idle exp
(Atk:51, Def:28 +2). It weighs 88.00 oz. Available in custom quest. Look here.)
Clubs Icon Clubs
Skull Staff
Skull Staff +1% idle exp
(Atk:36, Def:12). It weighs 17.00 oz.
Each sword, axe, and club above 44 ATK adds +1% idle exp
Arcane Staff
Arcane Staff +2% idle exp
(Atk:50, Def:30). It weighs 40.00 oz.
Thunder Hammer
Thunder Hammer +2% idle exp
(Atk:49, Def:35 +1). It weighs 125.00 oz. Available in Annihilator quest.
Ferumbras Staff
Ferumbras Staff +3% idle exp
(Atk:50, Def:36). Rare item. Look here.
Obsidian Truncheon
Obsidian Truncheon +3% idle exp
(Atk:50, Def:30 +2). It weighs 65.00 oz. Available in custom quest. Look here.
Distance Icon Distance
Arbalest
Idle Arbalest +2% idle exp
The only one-handed crossbow, designed to balance idle hunt for all professions. By completing the quest you will get idle and manual play versions.
Royal Crossbow
Royal Crossbow +3% idle exp
The only one-handed crossbow, designed to balance idle hunt for all professions. By completing the quest you will get idle and manual play versions. Available in custom quest. Look here.