Generation 13 adds a slew of specialized equipment. This new equipment carries several bonuses akin to Stamina Reduction/Attack Speed. I've managed to collect a great amount of information about these items. Hopefully you'll find this information useful.
Partron Set
Set Effect: Blacksmith/Refining success rate +10%
Location: Rundal Hardmode (Siren/Advanced/Basic)
1. Partron Hat
Refine: 0-3
Blacksmithing: 1-3
2. Partron Suit
Refine: 0-3
Blacksmithing: 1-3
3. Partron Gloves
Refine: 1-3
Blacksmithing: 0-3
4. Partron Shoes
Refine: 0-3
Blacksmithing: 1-3
Hebona Set
Set Effect: Icebolt/Firebolt damage +10%
Location: Alby Hardmode
1. Hebona Circlet
Icebolt: 1-3
Firebolt: 0-3
2. Hebona Robe
Icebolt: 0-3
Firebolt: 1-3
3. Hebona Gloves
Icebolt: 1-3
Firebolt: 0-3
4. Hebona Shoes
Icebolt: 0-3
Firebolt: 1-3
Birnam Set (Human/Giant only)
Set Effect: Explosion Resistance, Charge damage +10%
Location: ??? Hardmode
1. Birnam Plate Helmet
Charge: 0-3
Explosion Resistance: 1-3
2. Birnam Plate Armor
Charge: 1-3
Explosion Resistance: 0-3
3. Birnam Plate Gauntlets
Charge: 1-3
Explosion Resistance: 0-3
4. Birnam Plate Boots
Charge: 0-3
Explosion Resistance: 1-3
Cressida Set
Set Effect: Water Cannon/Flame Burst/Life Drain damage +15%
Location: Shadow Missions (Defeat the Shadow Wizard, Offering, Taillteann Defensive Battle)
1. Cressida Suit
Flame Burst: 1-4
Water Cannon: 0-4
Life Drain: 0-4
2. Cressida Gloves
Flame Burst: 0-4
Water Cannon: 0-4
Life Drain: 1-4
3. Cressida Shoes
Flame Burst: 0-4
Water Cannon: 1-4
Life Drain: 0-4
Adonis Set
Set Effect: Stamina Reduction, Fishing sucess rate +10%
Location: Iria Field Bosses (Gold Kiwi, Head Hyena, Gold Mushroom Spider, etc)
1. Adonis Hat (Male)
Stamina Reduction: 1-4
Fishing: 0-4
2. Adonis Hat (Female)
Stamina Reduction: 1-4
Fishing: 0-4
3. Adonis Suit (Male)
Stamina Reduction: 0-4
Fishing: 1-4
4. Adonis Suit (Female)
Stamina Reduction: 0-4
Fishing: 1-4
5. Adonis Bracelet (Female)
Stamina Reduction: 1-4
Fishing: 0-4
6. Adonis Shoes (Male)
Stamina Reduction: 0-4
Fishing: 1-4
7. Adonis Shoes (Female)
Stamina Reduction: 1-4
Fishing: 0-4
Bohemian Set
Set Effect: Magnum Shot/Support Shot damage increase
Location: ???
1. Bohemian Hat (Male)
Magnum Shot: 1-3
Support Shot: 0-3
2. Bohemian Hat (Female)
Magnum Shot: 1-3
Support Shot: 0-3
3. Bohemian Suit (Male)
Magnum Shot: 0-3
Support Shot: 1-3
4. Bohemian Suit (Female)
Magnum Shot: 0-3
Support Shot: 1-3
5. Bohemian Band (Male)
Magnum Shot: 1-3
Support Shot: 0-3
6. Bohemian Flower Band (Female)
Magnum Shot: 1-3
Support Shot: 0-3
7. Bohemian Shoes (Male)
Magnum Shot: 0-3
Support Shot: 1-3
8. Bohemian Shoes (Female)
Magnum Shot: 0-3
Support Shot: 1-3
Thames Set (I might have mistranslated this one)
Set Effect: Smash/Down Attack damage increase
Location: ???
1. Hatem Helmet
Smash: 1-3
Down Attack: 0-3
2. Hatem Armor
Smash: 0-3
Down Attack: 1-3
3. Hatem Gauntlet
Smash: 1-3
Down Attack: 0-3
4. Hatem Boots
Smash: 0-3
Down Attack: 1-3
Trinity Set
Set Effect: Mana Reduction, Healing bonus
Location: ???
1. Trinity Circlet
Mana Reduction: 1-4
Healing: 0-4
2. Trinity Suit (Female)
Mana Reduction: 0-4
Healing: 1-4
3. Trinity Gloves
Mana Reduction: 0-4
Healing: 1-4
4. Trinity Shoes
Mana Reduction: 0-4
Healing: 1-4
Belmont Set
Set Effect: Stamina Reduction, Metallurgy success rate +10%
Location: ???
1. Belmont Hat (Male)
Stamina Reduction: 1-3
Metallurgy: 0-3
2. Belmont Hat (Female)
Stamina Reduction: 1-3
Metallurgy: 0-3
3. Belmont Suit (Male)
Stamina Reduction: 0-3
Metallurgy: 1-3
4. Belmont Suit (Female)
Stamina Reduction: 0-3
Metallurgy: 1-3
5. Belmont Gloves
Stamina Reduction: 1-3
Metallurgy: 0-3
6. Belmont Shoes (Male)
Stamina Reduction: 0-3
Metallurgy: 1-3
7. Belmont Shoes (Female)
Stamina Reduction: 0-3
Metallurgy: 1-3
An untranslated breakdown of the new equipment can be found here and here.
The list of status effects has been updated and can be viewed here.