I read your Tilda Swinton sentence first WITHOUT the Dakota Fanning part and nearly threw up in my mouth a little...I for one alwys thought Swinton looked like Eric Stoltz!
The classic Argento film isn't his best (that's Deep Red) but it has memorable kills and works on the visual/musical level. It certainly makes a virtue out of incoherence though, the English dubbing is hilariously terrible (Udo Kier, my god!!!) and Argento intentionally turned the girls at the ballet school all into grown women who act like little girls, so you get lines like "Susie...I think that names that begin with S....are the names of snakessss!"
Holy crap, Gilliam finally finished the movie, and it's NO GOOD?!? Awesome!! We got ourselves another Hook/Gangs Of New York "long-gestating dream project that totally bombed"! I love when that happens. (I don't)