Yes, there are jobs for teaching classes other than Spanish; however, European languages are the languages that are commonly taught. In order to find a job teaching an Asian language, you would need to apply to affluent schools in large cities or private schools.
You can also teach private classes...there are a lot of kids who want to take these languages, but can't find them offered anywhere. If you can't find a school that will offer the languages you want to teach, you can teach them on your own. (The benefits aren't as good, but if this is what you want to do, there is a way to do it.)
Latin teacher (private classes)