You can delete individual items from your Amazon browsing history, or clear it completely, via the browsing history section ...

Be careful what you order, as Amazon no longer lets you hide, delete, or archive orders from your purchase history.

You can't delete Amazon orders, but you can hide them with the archive feature. Archiving orders isn't foolproof, as anyone with access to your account can find them on the Archived Orders page.

To view and delete your Amazon Prime Video watch history, go to the Settings page of Amazon Prime Video.