Has there been any wars before the 20th Century that western [European or American] nations fought with or against east Asian* nations?

by mattprzy
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Yes. If I may say so, you seem to be thinking that European imperialism in East Asia began in the 20th century. Not the case at all, there were many wars between China/Korea/Japan and European powers in the 19th century, the principal including, in non-chronological order:

If we go a bit further back, we have a few more, two I can immediately think of right now being: