This page is about all the special "swords" (there are some which aren't technically swords but still function the same way). These swords don't have tools to go along with them. I will mention Damage, Attack Speed, Durability, Repair Item, and any Special Effects
Damage Speed refers to how quick you can attack. High is nearly instantly, medium is a little faster than vanilla, and low is a little slower than vanilla. Diamond tools have a durability of 1561.
Slime Sword: 9 Damage, High Speed, 2050 Durability, Slime Gem
Infinity Gauntlet: 11, Very Low, Unbreakable
Wolverine Claws: 8, Fast, 4000, Adamantium
Black Panther Claws: 8, Fast, 4000, Vibranium
Captain America's Shield: 10, Slow, 5000, Vibranium
Ender Sword: 10 Damage, Fast, 6500, Enderite
Curiosity: 8, Medium, 5000, Curious Powder, Automatically has Knockback 3
The Terrorizer: 9, Low, 4000, Ruby, Automatically has Fire Aspect 3
The Assassin: 7, Fast, 6000, Blue Moon Quartz, Automatically has Looting 4
The Pulverizer: 8, Medium, 8000, Onyx, Automatically has Looting 3 & Smite 6
Heart Sword: 8, Fast, Unbreakable
Axe of Capitalism: 11.5, Low, 15,000, Night Steel
Oculus: 10.5, Fast, 17,500, Enderic Alloy
Longclaw: 12.5, Low, 6000, Valyrian Steel
Ice: 12.5, Low, 10,000, Valyrian Steel
Oathkeeper: 12, Medium, 5000, Valyrian Steel
Widow's Wail: 11.5, High, 4000, Valyrian Steel
Dragonglass Arakh: 10.5, High, Unbreakable
Dragonglass Spear: 11, Medium, Unbreakable
Dragonglass Axe: 11.5, Low, Unbreakable
Needle: 7, High, 9000, Steel
Catspaw Dagger: 12, High, Unbreakable
Mjolnir: 8, Low, 750, Summons Lightning Bolt
Stormbreaker: 8.5, Low, 750, Summons Lightning Bolt
Regular, Dual Red Lightsabers, Darth Sidious' Lightsaber, Darksaber: (Regulars can be crafted as blue, green, red, purple, yellow, or white) 11, Medium, Unbreakable
Kylo Ren's Lightsaber: 11, Fast, Unbreakable
Shoto Sabers: (Can be crafted as yellow or green) 10, Fast, Unbreakable
Night King's Sword: 13, Medium, Unbreakable
Night King's Spear: 13.5, Slow, Unbreakable
Magma Sword: 11.5, Fast, 3000, Magma Cream, Has Fire Aspect III
Thanos Glaive: 13, Medium, 13000, Extraterrestrial Metal, Is Very Large
Dwarven Dagger: 13.5, Fast, 15000, Dwarven Ingot
Dwarven Sword: 14, Medium, 15000, Dwarven Ingot
Dwarven Mace: 14.5, Slow, 15000, Dwarven Ingot, Is Very Large
Frost Sword: 14.5, Slow, 9000, Can't Be Repaired, Inflicts Slowness, Dropped by the Winter Squire
Blade of Darkness: 16, Fast, 20,000, Immjiri Tear, Inflicts Wither, Is Large
Terra: 16, Fast, Unbreakable, Inflicts Blindness
Heartsbane: 15, Slow, 18,000, Valyrian Steel
Vacuous Sword: 8 Damage, Medium, 500, Only Meant to Craft Knowledgeable Swords
Knowledgeable Swords: 13 Damage, Medium, 10,000, Each Sword has the Effect in its name at Level 5 when crafted
Count Dooku's Saber: 11, Fast, Unbreakable
Inquisitor's Saber: 11, Slow, Unbreakable