Question

There are many other societies that are similar yet different but, the Greek and Chinese society are the most common.
semicolon or comma after but

Answer 1

semicolons kind of split phrases or sentences. so if it was a semicolon after "but" it would need to be surrounded on either side by complete sentences. Does that help?

Answer 2

are you sure the punctuation isn't supposed to go before "but"

Answer 3

maybe it does writing a paper lol

Answer 4

Ok, in that case you don't really need a comma, but you could put one. Either one works here:
There are many other societies that are similar yet different, but the Greek and Chinese society are the most common.
There are many other societies that are similar yet different but the Greek and Chinese society are the most common.