From the article:
The movies are playing in select AMC and Regal theaters across the US, with a few dates for each title in both Japanese and English dubbed.
The full list is: Spirited Away (April 27-May 1), Nausicaä of the Valley of the Wind (May 19 and 21), Castle in the Sky (May 20 and 22), The Secret World of Arrietty (June 9 and 11), When Marnie Was There (June 10 and 12), Princess Mononoke (July 13-17), Ponyo (August 3-7), Whisper of the Heart (August 25 and 27), The Cat Returns (August 26 and 28), Howl’s Moving Castle (September 26-October 3), Kiki’s Delivery Service (October 26-30), Pom Poko (November 24 and 26), The Tale of the Princess Kaguya (November 25 and 27), and My Neighbor Totoro (December 7-11).
Btw, if you go to the site linked in the article and click buy tickets for the upcoming movie showing, you can enter in your zip code to see which theatres around you may be showing them!