I am working on a Grid-Based title similar to Legend of Grimrock and/or Eye of the Beholder. In terms of pathfinding, I have gone through many issues as of lately.
My enemy has a wander AI which is very incomplete and only for testing purposes; I will implement a second-based AI later (this will be clear when you see the script below).
I tried using A*, but it merely causes the enemy to drag along, and not move in a grid. I had a script that rounded the current position to a whole number, which is the basic grid my game runs on. That worked to an extent; however, the enemy just dragged on without rotating at corners or going through his normal movement behavior.
Is there any way I can have the enemy move in a grid-based functionality, tracking down the player dynamically, and rotating at corners/rotating to face him?
Thanks in advance! 
Enemy movement script (with wander AI(As you can see, the FoundPlayer method is empty as I have no clue what to do :P)):
using UnityEngine;
using System.Collections;
public class EnemyMovement : MonoBehaviour {
public static bool CanMoveForward;
public bool FoundPlayer;
//Translation:
float movSpeed = 4.0f;
Vector3 pos;
Transform tr;
public static bool moving = false;
//Rotation:
public static bool rotating = false;
public float rotSpeed = 360f;
float rotDegrees = 0f;
Quaternion rotToAngle ;
void Start () {
pos = transform.position;
tr = transform;
CanMoveForward = true;
FoundPlayer = false;
}
void MoveTowardsPlayer() {
return;
}
// Update is called once per frame
void Update () {
int randomValue = Random.Range (1, 100);
Debug.DrawRay(transform.position, transform.forward, Color.red);
if (!moving && !rotating && !FoundPlayer) {
if (randomValue == (1 | 2) && tr.position == pos && CanMoveForward) {
pos += transform.forward;
moving=true;
}
else if (randomValue == 5 && tr.position == pos) {
rotDegrees -= 90f;
rotToAngle = Quaternion.Euler(0, rotDegrees, 0);
rotating = true;
}
else if (randomValue == 6 && tr.position == pos) {
rotDegrees += 90f;
rotToAngle = Quaternion.Euler(0, rotDegrees, 0);
rotating = true;
}
} else if (FoundPlayer) {
MoveTowardsPlayer();
}
//Translation:
if (moving) {
if (Vector3.Distance(transform.position,pos) <0.05f){
transform.position = pos;
moving=false;
// print ("FINISHED MOVE");
} else {
transform.position = Vector3.MoveTowards(transform.position, pos, Time.deltaTime * movSpeed);
}
}
//Rotation:
if (rotating) {
if (Quaternion.Angle(transform.rotation,rotToAngle) <10f) {
transform.rotation = rotToAngle;
rotating=false;
// print ("FINISHED TURN");
} else {
transform.rotation = Quaternion.RotateTowards(transform.rotation, rotToAngle, rotSpeed * Time.deltaTime);
}
}
}
}