linq where list contains any in list

Sounds like you want:

var movies = _db.Movies.Where(p => p.Genres.Intersect(listOfGenres).Any());

You can use a Contains query for this:

var movies = _db.Movies.Where(p => p.Genres.Any(x => listOfGenres.Contains(x));

If you use HashSet instead of List for listofGenres you can do:

var genres = new HashSet<Genre>() { "action", "comedy" };   
var movies = _db.Movies.Where(p => genres.Overlaps(p.Genres));

I guess this is also possible like this?

var movies = _db.Movies.TakeWhile(p => p.Genres.Any(x => listOfGenres.Contains(x));

Is "TakeWhile" worse than "Where" in sense of performance or clarity?

If the Genre is an Entity and has its own Properties such as Title, use the following code:

var listofGenresName = new List<string> { "action", "comedy" };
var movies = _db.Movies.Where(p => p.Genres.Any(x => listofGenresName.Any(g=> g == x.Title)));