The Statue of Heroes stands toward the direction of Győr from the statue of the Immaculate Virgin Mary in the church parvis. The memorial was built for the local victims of World War I, it was dedicated on May 17, 1925. It was rededicated on October 23, 1991, by the local government and a pillow stone was added to the front of the memorial listing the names of the soldiers from Abda who died in World War II. The renovation of the memorial was completed by May 25, 2008, for the Heroes' Day celebration. The plaque was moved from the pillow stone to the column and the list of WWII victims was revised for accuracy.

The memorial double cross of the Millennium was given to the village by the Kisalföld Forestry in 2001 to commemorate the Conquest. Before this, a border stone from 1766 was marked the place. The stone marked the areas of Abda, Ikrény, and Győr where the borders of the three municipalities meet. It is most likely that the stone was set in its original place to settle a dispute over lands.

The stone statue of the Immaculate Virgin Mary dating back to 1700 is the village's oldest artifact and can be found on the square in front of the church. It is emblazoned with the following words. 'This excellent piece of kuruc art was made by our soldiers. This treasure of the village of Abda was placed here under the ministry of Ignác Csapó.' According to the Latin caption, the statue was made by György Nuber, a kuruc soldier (anti-Habsburg rebel).