Unity3D point and click style movement.

CharacterMover.cs

using UnityEngine;
using System;

[RequireComponent(typeof(CharacterController))]
public static class CharacterMover
{
	public static void ProgressMovement (CharacterController cc, Vector3 destination, float speed, float turnSpeed)
	{
		if (cc.transform.position == destination) {
			return;
		}
		Vector3 movement = destination - cc.transform.position;
		Vector3 movementDirection = movement.normalized * speed * Time.deltaTime;
		movement.y = 0f;

		if (movement.sqrMagnitude < movementDirection.sqrMagnitude) {
      // if very close to destination, don't be turning (or you'll always face up)
			cc.Move (movement);
		} else {
			cc.Move (movementDirection);
			TurnTowards (cc, destination, turnSpeed);
		}
	}

	public static void TurnTowards(CharacterController cc, Vector3 destination, float turnSpeed) {
		Vector3 turnVector = destination - cc.transform.position;
		turnVector.y = 0f;
		cc.transform.rotation = Quaternion.RotateTowards (
			cc.transform.rotation,  Quaternion.LookRotation (turnVector), turnSpeed * Time.deltaTime
		);
	}
}