Having bread, wheat, sugar, apples, golden apples, or enchanted golden apples makes horses, mules, and donkeys follow you.

To reproduce: Have bread, wheat, sugar, apples, golden carrots, golden apples, or enchanted golden apples on hand makes horses, mule, or donkey follow you.

This no longer affects

• Potatoes.
• Beetroot

Affects

• Carrot
• Carrot on a stick
• Golden carrot
• Bread
• Wheat
• Hay Bale
• Apple
• Golden Apple
• Enchanted golden Apple
• Sugar

Carrots are the only one that seems to affect horses

Horses, mules, or donkeys should not follow player when they have food on hand because it makes the leads useless and different from Java and Console version.