Make an object move towards the mouse?

How can I make an object move towards where the mouse is currently clicking… Like in an older RPG like Diablo?

For a simple top-down view, you can use Input.mousePosition to get the screen position of the mouse and then use Camera.ScreenToWorldPoint to convert that point to world coordinates. For a more complicated view over terrain, you may need to resort to raycasting, as described here.