LoadingUIElement

#To run this you need to attach to a gameobject with four children (in my case with a circle sprite). Adjust some scale and position in code...and voilà!

using UnityEngine;
using System.Collections;

public class LoadingAnim : MonoBehaviour {

    public AnimationCurve animCurve;
    public AnimationCurve animPointAlongRadius;
    public AnimationCurve animTranslation;

    public float timeToRotate;
    public float timeToTranslate;

    //Put the children in local pos (1,1,0), (-1,1,0), (-1,-1,0) and (1,-1,0)
    Transform[] transformBalls;

    Vector3[] basePosBalls;

    void Start () {

        transformBalls = new Transform[transform.childCount];
        basePosBalls = new Vector3[transform.childCount];

        for(int i=0;i<transformBalls.Length;i++){
            transformBalls[i] = transform.GetChild(i);
            basePosBalls[i] = transformBalls[i].localPosition.normalized;
        }

        StartCoroutine("TranslationAnimBegin");
        StartCoroutine("RotationAnim");
    }

    IEnumerator TranslationAnimBegin(){

        yield return new WaitForSeconds(1f);

        Vector3 v;
        Color c;
        float time = 0;

        while(time<timeToTranslate){

            v = transform.position;
            v.y = Mathf.Lerp(-3f,-1.5f,animTranslation.Evaluate(time/timeToTranslate));
            transform.position = v;

            for(int i=0;i<transformBalls.Length;i++){
                c=transformBalls[i].GetComponent<SpriteRenderer>().color;
                c.a = Mathf.Lerp(0f,1f,time/timeToTranslate);
                transformBalls[i].GetComponent<SpriteRenderer>().color=c;
            }


            time+=Time.deltaTime;
            yield return null;
        }


        for(int i=0;i<transformBalls.Length;i++){
            c=transformBalls[i].GetComponent<SpriteRenderer>().color;
            c.a = 1f;
            transformBalls[i].GetComponent<SpriteRenderer>().color=c;
        }

        yield return new WaitForSeconds(4f);

        StartCoroutine("TranslationAnimEnd");

    }

    IEnumerator TranslationAnimEnd(){

        Vector3 v;
        Color c;
        float time = 0;

        while(time<timeToTranslate){

            v = transform.position;
            v.y = Mathf.Lerp(-1.5f,-3f,animTranslation.Evaluate(time/timeToTranslate));
            transform.position = v;

            for(int i=0;i<transformBalls.Length;i++){
                c=transformBalls[i].GetComponent<SpriteRenderer>().color;
                c.a = Mathf.Lerp(1f,0f,time/timeToTranslate);
                transformBalls[i].GetComponent<SpriteRenderer>().color=c;
            }


            time+=Time.deltaTime;
            yield return null;
        }


        for(int i=0;i<transformBalls.Length;i++){
            c=transformBalls[i].GetComponent<SpriteRenderer>().color;
            c.a = 0f;
            transformBalls[i].GetComponent<SpriteRenderer>().color=c;
        }

    }


    IEnumerator RotationAnim(){


        float time;
        float rot = 0;

        while(true){

            Quaternion q1 = Quaternion.Euler(0f,0f,rot);
            Quaternion q2 = Quaternion.Euler(0f,0f,rot+90f);

            time = 0f;

            while(time<timeToRotate){

                Quaternion q = Quaternion.Lerp(q1,q2,animCurve.Evaluate(time/timeToRotate));
                transform.rotation = q;

                for(int i=0;i<transformBalls.Length;i++){
                    transformBalls[i].localPosition = Vector3.Lerp(0.2f*basePosBalls[i],0.15f*basePosBalls[i],animPointAlongRadius.Evaluate(time/timeToRotate));
                }


                time+=Time.deltaTime;
                yield return null;
            }

            transform.rotation = q2;

            for(int i=0;i<transformBalls.Length;i++){
                transformBalls[i].localPosition = 0.2f*basePosBalls[i];
            }

            rot += 90f;
            rot%=360f;

        }

    }



}