(Italian Wikipedia page, with picture)
Olive taggiasche are a kind of olives native of Liguria; they're called "taggiasche", because some monks brought them to Taggia, a town in the Province of Imperia, Liguria. These olives are very small, egg-shaped and very tasty. They are often used in Ligurian cuisine, especially with meat or fish.
You can find Olive taggiasche in these recipes:
A Tropea onion is a red onion native of Tropea, Calabria, but it's produced in other Calabrian villages as well. This kind of onion is sweeter than others and more digestible.
You can find Tropea onions in these recipes:
Zucchine trombetta are a particular kind of zucchini typical of Liguria, called "trombetta" (aka "trumpet") for their stretched and curved shape. They are light-coloured, they have a sweet taste and a buttery consistency.
You can find zucchine trombetta in these recipes: