Father's Day
Father's Day, is observed on the feast day of Fathers. It is celebrated as a public international day, like in many other countries including the U.S., on the third Sunday of June.
In Greece, like in other European countries, this day is named (Fête des Peres/Feast of Fathers)
Farmers' Day
Farmers' Day or National Farmer's Day is a public holiday. It is observed on December 23 in India and October 12 in the United States of America. 
In America, it is observed on 12 October every year. It is celebrated to pay tribute to all farmers throughout American history.
The National Farmers' Day in Ghana is an annual celebration of farmers and fishermen, observed on the first Friday of December. On the occation of Farmers' Day, the Ministry of Food and Agriculture (Ghana) honors with special awards to deserving farmers and fishermen based on their practices and output. 
The National Farmer's Day in India is also known as Kisan Divas in Hindi. Farmer's Day is celebrated every year on 23 December, on the birthday of the 5th Prime Minister of India, Choudhary Charan Singh, also a farmer's leader, who introduced many policies to improve the lives of the Indian farmers. It is celebrated by organising various programs, debates, seminars, quiz competitions, discussions, workshops, exhibitions, essays writing competitions and functions.