Two only-in-LA ethnic restaurants are Guelaguetza, which serves Oaxacan style Mexican cuisine, and Yongsusan, which serves Imperial style North Korean cuisine. Both are located in around Koreatown.
http://www.newtimesla.com/issues/200...estfood57.html
http://www.calendarlive.com/top/1,14...-34728,00.html
For Thai food, try Thai Town, on the Eastern fringes of Hollywood.
http://www.epicurious.com/b_ba/b03_goingout/thai.html
If you want a one of a kind Chinese cultural experience you can drive 20 miles east of downtown and visit the Hsi Lai Buddhist Monastary in Hacienda Heights. Aside from being associated with the Al Gore fundraising scandal, it's reputed to be the largest buddhist monastary in the western hemisphere. They offer tours of the grounds and a vegetarian lunch buffet. Once you enter their gates you'll swear you were in China!
http://www.hsilai.org/