There will be a limited edition 60th Anniversary t- shirt given away to those attending the Best of Godzilla presentation on July 19 in Japan, the movie will be selected it seems from a contest called the Godzilla General Election. 

The presentation will apparently feature four "famous" people, assuming they are actors and very possible including Gareth Edwards, maybe. It's hard to make out specifics due to the site being in Japanese.

Check out the event site here.