What punctuation error is in the sentence You can be proud of all american inventions that have been produced throughout 1800s list long and very impressive?

The punctuation error is the lack of a comma after "inventions". The sentence should read:

"You can be proud of all American inventions, that have been produced throughout the 1800s, list long and very impressive."

This comma is needed because it separates a dependent clause ("that have been produced throughout the 1800s") from the main clause.