Browsing through multiple sources, including the IGN Wiki, the Zelda Wiki, an article at screenrant.com and a walkthrough at gamewith.net, it does not look like Zelda has any further costumes. In fact, most of the unlocked clothing options are specific to Link. All other champions only have a single piece of unlockable clothing, apart from Zelda, who has two.
You can find all available attire pieces, below, along with their respective unlock conditions.
Link (Chest)
- [A1] Champion's Tunic: Complete the "The Road Home, Besieged" scenario
- [A2] Hylian Tunic: Complete the "Freeing Korok Forest" scenario.
- [A3] Warm Doublet: Complete the "The King's Secret Technique" quest.
- [A4] Snowquill Tunic: Complete the "The White Bird of Talonto Peak" quest.
- [A5] Desert Voe Spaulder: Complete the "Urbosa, the Gerudo Chief" scenario.
- [A6] Gerudo Top: Complete the "Miss Vai Battle Pageant" challenge.
- [A7] Rubber Armor: Complete the "The So-Called Knight" challenge.
- [A8] Flamebreaker Armor: Complete the "Daruk, the Goron Hero" scenario.
- [A9] Zora Armor: Complete the "Heart's Escort" challenge.
- [A10] Stealth Chest Guard: Complete the "Village Training Secrets" quest.
- [A11] Climbing Gear: Complete the "The Hope of Necluda" quest.
- [B1] Barbarian Armor: Complete the "Coliseum: Expert" challenge.
- [B2] Radiant Shirt: Complete the "Deep Woods, Deep Shadow" challenge.
- [B3] Sand Boots: Complete the "Surveying the Desert Ruins" quest.
- [B4] Dark Tunic: Complete the "Unnatural Disaster" challenge.
- [B5] Tunic of the Wild: Complete the "Hyrule's Greatest Warrior" challenge.
- [B6] Hyrule Warrior's Tunic: Complete the "The Hope of All Hyrule" quest.
- [B7] Royal Guard Uniform: Complete the "King Rhoam's Training" challenge.
Link (Head)
- [B8] Hylian Hood: Complete the "Freeing Korok Forest" scenario.
- [B9] Amber Earrings: Complete the "Not a Light Meal" quest.
- [B10] Ruby Circlet: Complete the "The Hope of Eldin" quest.
- [B11] Snowquill Headdress: Complete the "Fierce Gale of the Riot" challenge.
- [C1] Sapphire Circlet: Complete the "The Hope of Lanayru" quest.
- [C2] Desert Voe Headband: Complete the " Leave None Behind" challenge.
- [C3] Gerudo Veil: Complete the "Miss Vai Battle Pageant" challenge.
- [C4] Topaz Earrings: Complete the "Time for an Upgrade" quest.
- [C5] Rubber Helm: Complete the "Shocking Design Choices" quest.
- [C6] Flamebreaker Helm: Complete the "Fighting Fire With…" quest.
- [C7] Opal Earrings: Complete the "The Hope of Central Hyrule" quest.
- [C8] Zora Helm: Complete the "Mipha, the Zora Princess" scenario.
- [C9] Stealth Mask: Complete the "A Thief in our Midst" quest.
- [C10] Thunder Helm: Complete the "The Hope of Gerudo" quest.
- [C11] Climber's Bandanna: Complete the "Mountain Rescue" challenge.
- [D1] Barbarian Helm: Complete the "Anti-Elemental Training" challenge.
- [D2] Radiant Mask: Complete the "Deep Woods, Deep Shadow" challenge.
- [D3] Diamond Circlet: Complete the "Hunting for Gemstones" challenge.
- [D4] Bokoblin Mask: Complete the "A Rumor about Skull Lake" quest.
- [D5] Moblin Mask: Complete the "Cold Desert Nights" quest.
- [D6] Lizalfos Mask: Complete the "Visiting a Special Shop" quest.
- [D7] Lynel Mask: Complete the "Mystery Meal for the Merchant" quest.
- [D8] Dark Hood: Complete the "Questionable Escort Mission" quest.
- [D9] Cap of the Wild: Complete the "Hyrule's Greatest Warrior" challenge.
- [D10] Hyrule Warrior's Cap: Complete the "The Hope of All Hyrule" quest.
- [D11] Royal Guard Cap: Complete the "King Rhoam's Training" challenge.
Link (Legs)
- [E1] Hylian Trousers: Complete the "Freeing Korok Forest" scenario.
- [E2] Snowquill Trousers: Complete the "Revali, the Rito Warrior" scenario.
- [E3] Desert Voe Trousers: Complete the "the Colorful Kara Kara Bazaar" quest.
- [E4] Gerudo Sirwal: Complete the "Miss Vai Battle Pageant" challenge.
- [E5] Rubber Tights: Complete the "The Hope of Faron" quest.
- [E6] Flamebreaker Boots: Complete the "the Tough Bulwark of the Gorons" quest.
- [E7] Zora Greaves: Complete the "the Armor for Whom?" quest.
- [E8] Stealth Tights: Complete the "The Hope of Akkala" quest.
- [E9] Climbing Boots: Complete the "Perils of Mount Hylia" quest.
- [E10] Barbarian Leg Wraps: Complete the "Hair-Width Trial: Expert+" challenge.
- [E11] Radiant Tights: Complete the "Deep Woods, Deep Shadow" challenge.
- [F1] Snow Boots: Complete the "The Hope of Hebra" quest.
- [F2] Dark Trousers: Complete the "Fire Hazards" challenge.
- [F3] Trousers of the Wild: Complete the "Hyrule's Greatest Warrior" challenge.
- [F4] Hyrule Warrior's Trousers: Complete the "The Hope of All Hyrule" quest.
- [F5] Royal Guard Boots: Complete the "King Rhoam's Training" challenge.
Other Characters
- [F6] Zelda's Ceremonial Robes: Complete the "The Future of Hyrule" scenario.
- [F7] Zelda's Winter Clothes: Complete the "The Future of Hyrule" scenario.
- [F8] Mipha's Champion Garb: Complete the "The Future of Hyrule" scenario.
- [F9] Daruk's Champion Garb: Complete the "The Future of Hyrule" scenario.
- [F10] Revali's Champion Garb: Complete the "The Future of Hyrule" scenario.
- [F11] Urbosa's Champion Garb: Complete the "The Future of Hyrule" scenario.