The first restaurant is located in the middle of the city of Athens very close to the Plaka. It's called AVOCADO and is vegan-oriented. The food is extremely delicious. The team is young and cheerful, the crowd very mixed in a relaxed atmosphere.
You can visit it on http://www.avocadoathens.com/.
The second restaurant is on Peloponnese in Gialova, Messinia. The NATURA offers fresh and organic products from the region and is run by young and motivated people. Especially nice is the location right on the sea.
Available at: http://www.med-dietrestaurant.eu/restaurant/.