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).

When fortifying the flood embankment in 1954 the statue was accidentally knocked over. It lay in the ditch for 30 years before József Pósfai, art restorer supplemented and restored the sculpture which was set by the municipality, not in its original place, but in the park behind the church. It was consecrated on August 20, 1992. The state of the statue had significantly deteriorated by 2011. With the support of the local Roman Catholic congregation, the local government and private persons, the stone sculptor György Böcskei restored the statue. The County Bishop Dr. Lajos Pápai was asked to bless it.

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.