I'm looking for Pathfinder-compatible oriental adventure modules. Any suggestions on good ones?
Well, there's the entire Jade Regent adventure path.
For just one module, the Ruby Phoenix Tournament module is good for the Obligatory Coliseum Sidequest.
Egde of Heaven PFS Scenarios will provide a few good hours of play.
Looking for a 1 time asian adventure for some standard characters that got lost and found themselves in the "far east" area of the world.
There is a number of campaign setting books for Pathfinder about the continent of Tian Xia (equivalent to east and southeast asia, basically) with tons of nations and cultures and races. The Dragon Empires Gazeteer and Player companion provide a lot of useful information. The Jade Regent AP takes players from a western european type setting, to a viking-like arctic setting, to an asian-like setting, finishing in a nation that is basically an expy of Shoganate Japan.
If you want to just adventure in Tian Xia, there is the module mentioned previously (Ruby Phoenix Tournament) which is brilliant, and a number of Pathfinder Society scenarios which can be modified to work in any campaign by removing the PFS-specific material, and assigning appropriate XP values based on the CRs. These include the Quest for Perfection series (Edge of Heaven, On Hostile Waters, and Defenders of Nesting Swallow), the Haunting of Hinojai, Red Harvest, and I think the Rats of Round Mountain, although since that's not out yet it might turn out to be not very asian in theme. All of these are in Season 3. There is at present no AP that takes place entirely in Tian Xia, but you could either run through those scenarios as a mini-AP, or have your players roll up high-level characters and take on the Ruby Phoenix tourney.
Turning to third party publishers, Rite publishing has a darker-themed campaign world entitled Kaiden that might suit you. It's s blend of Samurai and Horror, I believe.