Explanation:

St. Francis Xavier was one of the founding members of the Jesuit Order.

This statement is true. St. Francis Xavier, along with St. Ignatius of Loyola and several others, was one of the founding members of the Society of Jesus, commonly known as the Jesuits.

St. Francis Xavier died in Goa and a church is dedicated to him there.

This statement is partly true. While St. Francis Xavier did die on the island of Sanchuan, which is close to China, his body was brought back and is now housed in the Basilica of Bom Jesus in Goa. This basilica is a UNESCO World Heritage Site and is dedicated to him.

The Feast of St. Francis Xavier is celebrated in Goa each year.

This statement is true. The Feast of St. Francis Xavier, also known as the 'Goa Feast,' is celebrated every year on December 3rd, marking the death anniversary of the saint. It attracts a large number of pilgrims and tourists from different parts of the world.

Given the above explanations, all three statements are correct.