In England, farms do not produce 'produce', they are crops

The greengrocery section of a supermarket tends to be called "produce" these days, but that might be an import.

or nobody would 'dove' anywhere, they would dive.

Dove is a past tense form. But I'd say it was becoming obsolete compared to "dived".

French Fries are both american inventions

Weren't they orignally Pont-Neuf potatoes?

as is eggplant (instead of aubergine)

You can watch the word "aubergine" changing slowly over its whole long linguistic journey from Sanskrit through Ancient Greek to French then English. Then the Americans decided to call it eggplant <sigh>.

I like the way that in England the Royal Mail brought the post, but in the USA the US Postal Service brings the mail. Much more of this in Bill Bryson, Mother Tongue and Made In America.

Peter