Zelda isn't Zelda when there aren't any crucial collectable items (with the exception of Adventure of Link, but that one did so much different it doesn't count).
Youmu would probably use Hakurouken as starter sword, and Roukanken as the Master Sword, with Myon as shield. Tempered sword will be Yorihime's Sword, and the Golden Sword the Sword of Hisou. The Tengu Boots, Kappa's Flippers, China Gloves/Oni's Mitt and Hourai Pearl serve as substitutes for respectively the Pegasus Boots, Zora Flippers, Power Glove/Titan's Mitt and the Moon Pearl.
Dungeon items, still following the ALttP theme, would be:
Bombs - Magic Pots (the ones Marisa uses in the fighting games)
Bow - Eirin's Bow
Magic Cape - The Divine Rainment (aka Iku's Scarf)
Lantern - Shou's Lantern
Flute - ZUN's Synthesizer or Winn's Ewi
Bottle - Ibuki Gourd
Boomerang / Magic Boomerang - Elly's Scythe / Komachi's Scythe
Book of Mudora - Grimoire of Alice
Hammer - Tewi's Hammer
Bug Catching Net - Yuuka's Wriggle Catching Net
Hookshot - Alice Strings
Shovel - ......a shovel......
Magic Mirror - Kanako's Mirror
Fire Rod / Ice Rod - Laevateinn and Cirno Blade
Cane of Somaria/Byrna - Yukari Gap and Fantasy Heaven Spellcard
Bombos/Ether/Quake Medallion - Control Rod/Yama Stick/Key Stone
Magic Powder - Eirin's Shady New Drug