Add sprites for each of the towns; maybe even animate those sprites when the place is new to draw attention to them.

Add a camera-tracking script similar to the one used in the Home scene so that the player can move further around the map.

Create new scenes for the places to visit and get some more characters and conversations going.

Add a LineRenderer component to the MapMovement script (visit http://cgcookie.com/unity/2013/05/03/animate-a-line-draw-using-line-renderer-component/) to show a line as the player moves.

Animate the player and flip the image when the hero moves in the opposite direction as we did in the town.

Add a keyboard input to move the player instead of just touch and click.

Return to the CharacterMovement script and add touch/mouse input.

Update the Fading manager to use curves and/or more images, and try to add a middle image/scene between loading levels. This is commonly used for...