Some of the below have very broad influences, some of which are Asian (like Exalted). Others do not have campaign settings (Wushu, Redbox Hack) but seemed worth mentioning anyway. Others are in the Asia-Pacific, but not Asia (Terror Australis, Mythos of the Maori):

• Exalted (non-D&D)
• Wu Xing: The Ninja Crusade
• Mythos of the Maori (non-D&D)
• Wushu (non-D&D)
• Mist-Robed Gate (non-D&D)
• Shinobi & Samurai (OSR)
• Redbox Hack (OSR)
• Tianxia (Fate)
• Anima Prime (non-D&D)
• Legend of the Elements (PBTA)
• Scarlet Heroes (OSR)
• Terror Australis (COC)
• Mahasarpa (D&D 3E)
• Unapproachable East (D&D 3E)
• Mekayana (Mecha)
• Counter-Colonial Hexcrawl
• Suwarnabumi
• Hari-Ragat
• Rivers & Lakes (wuxia)
• Against the Wicked City (Central Asian steampunk)
• Ruins & Ronin (OSR)
• Jadeclaw (furry China)
• Steamscapes: Asia (Savage Worlds)

Razor Coast has some Hawai’i influences.

Additional ones from this RPG.net thread

• Yoon-Suin (OSR)
• Arrows of Indra (OSR)
• Mad Monks of Kwantoom (OSR)
• Red Tide (OSR)
• The Crimson Pandect (OSR)
• Mindshadows (OGL)
• Hordelands (D&D)
• Wind on the Steppes (BRP)
• The Dragon and the Bear (Ars Magica)
• A Magical Society: Silk Road (OGL)
• Qelong (LotFP)
• Dragon Empires Gazetteer (Pathfinder)
• Dragon Empires Primer (Pathfinder)
• Against the Dark Yogi (non-D&D)
• The Blossoms are Falling (Burning Wheel)
• Valley of the Five Fire (?)
• Distant Shores (yet to be released, Pathfinder)
• Mythic Russia (HeroQuest)
• The Celestial Empire (BRP)
• Dragon Lines (BRP)
• Légendes des Mille et Une Nuits (non-D&D, OOP, French)
• Les Loups des Steppes (non-D&D, OOP, French)
• Tales of the Caliphate Nights (True20)
• Al-Qadim (AD&D)
• Qin (non-D&D)
• Capharnaüm (non-D&D)
• Kara-Tur (AD&D)
• Rokugan (3E D&D, non-D&D)
• Pandaria (WOW; not an RPG)
• Empire of the Petal Throne (non-D&D, OSR, OGL)
• Heroes of the Jade Oath (OGL, Pathfinder)
• Iron Dynasty: Way of the Ronin (Savage worlds) - more Samurai
• Feng Shui 2
• Jadepunk: Tales of Kausao City (fate)- steampunk/wild west/wuxia
• Blood: Path of the Shinobi
• Tibet RPG (Vajra Enterprises)

Midgard Campaign Setting has 22 pages on the Rothenian Plain