As I said in my comment, it's quite easy (if you read the manual):
SELECT field1, field2, field3 AS altName, lastFieldNoCommaHere
    FROM table
WHERE someField = 'value'
  AND id IN (1,2,3,4,5,6,7,8,9)
  AND (dateField > NOW()
       OR dateField IS NULL);
RTM and don't use mysql_* extension, it's deprecated. Use PDO or mysqli_*, not just because of the deprecation issue, But for various reasons.
Seing as you're using movie.star1 in your where clause, you should look into the JOIN syntax, too:
SELECT actor_id.name 
FROM actor_id
    LEFT JOIN movie
       ON movie.star1 = actor_id.actor_id
WHERE actor_id.actor_id IN (1,2,4,5,6,7,8,123);
That's, probably, what you're after, or perhaps:
SELECT actor_id.name
FROM actor_id
WHERE actor_id.actor_id
          IN ( SELECT movie.star1
                  FROM movie
                  WHERE movie.release_date >= '2012-01-01');
This is an example of a sub-query. Be careful with this, because it's often quite slow...
And as Fluffeh pointed out to me, you can't select multiple values, and have to resort to something like this:
SELECT actor_id.name
FROM actor_id
WHERE actor_id.actor_id
          IN ( SELECT IFNULL(movie.star1, IFNULL(movie.star2, movie.star3))
                  FROM movie
                  WHERE movie.release_date >= '2012-01-01');
Or:
SELECT actor_id.name
FROM actor_id
WHERE actor_id.actor_id
          IN ( SELECT IF (movie.star1 <= 12,
                          IF (movie.star2 <= 15,
                              movie.star3,
                              movie.star2),
                          movie.star1)
                  FROM movie
                  WHERE movie.release_date >= '2012-01-01');