Attach Rotation.cs script to a game object and it will follow mouse position when clicking (when is using unity editor) or touch position (when is using a mobile device).

unity-2d-movement-controller Usage This player movement controller script can be applied to your player object to gain movement control in a 2D platform world. It has a variable jump dependent on how ...

A complete tutorial explaining how to create a very basic 2D platform game for Android with touch-screen controls in Unity.