Jason Schwartzman, Milla Jovovich and Lucy Liu have also received mentions on the acting roll call, while directors include Bridesmaids' Paul Feig, The Hangover's Todd Phillips, Shame filmmaker Steve MCQueen and Benh Zeitlin from Beasts of the Southern Wild.
Girls creator Lena Dunham and French actress Julie Delpy land invites as writers, while soul superstar Prince is listed in the music category.
Academy President Hawk Koch says, "These individuals are among the best filmmakers working in the industry today. Their talent and creativity have captured the imagination of audiences worldwide, and I am proud to welcome each of them to the Academy."
Also invited to join the Academy are Chris Tucker, Danny Trejo, Emily Mortimer, Paula Patton and Jack Huston, and if they accept, they will all be granted ballot slips to vote for the winners of the 2014 Oscars and beyond.
Celebrating the big news, Gordon-Levitt writes on his Twitter page, "An honor. Thanks!"