In California, for the four year universities there are two public systems: UC (University of California) and CSU (California State University). The CSU system has a very good international program called
CSU IP. Every student who attends a Calfiornia State University can apply to the program and take courses in another country and have this count toward toward courses within the CSU system.
The information and support for the program varies from college to college. I think
SFSU (San Francisco State University) has the best support with their
OIP. In additional to the availability of
CSU IP program,
SFSU not has a rich home grown study abroad program themselves. They have a system that allows you to meet your GE (General Education) requirements (Segment III) abroad, where other universities, this could be somewhat of a mess and not well discernible if this is possible.
In Japan, you can go to the top prestigious private school
Wasaeda, and for Taiwan you can go to
NTU (National Taiwan University). I don't know about their language programs, but the for
NTU the books look well developed. And for Korea you get to go to the top university there,
Yonsei, whose motto claims they are the "
First and the Best".
If you are considering Korean language studies, note that currently there are no programs in any Cal State University that offers Korean according to the 2010-2011
undergraduate majors matrix. The last time I looked, Korean is even limited in the UC system with only
UCLA and
UC Berkeley offering Korean language courses. In contrast, according to that same matrix, of the 24 CalState universities, 3 offer Chinese (San Diego, LA, and
SFSU) and 6 offer Japanese.