Which types of eggs have a soft yolk after cooking?

The correct answer encompasses all of the options provided. Each egg preparation style mentioned results in a soft yolk after cooking, although in slightly different ways.

When eggs are cooked over easy, they are fried on one side and then gently flipped to cook the other side just enough to set the whites while maintaining a runny yolk. This method ensures that the yolk remains soft and molten.

Sunny-side up eggs are cooked without flipping, allowing the white to fully set while the yolk remains intact and runny. The gentle heat of this cooking method leaves the yolk fully soft.

With over medium eggs, the yolk is slightly more cooked than in over easy preparation, but there can still be a soft texture, depending on the specific cooking time. Though it may not be as runny as in sunny-side up or over easy, it retains a bit of softness.

Thus, all these cooking methods maintain a soft yolk, making the answer encompass all the provided options.