I think the following people would fit these roles. My only gripe is that there would be too many pretty people in the movie. I haven't been able to find anyone to fill the blank categories.

John Galt - Scott Eastwood http://www.imdb.com/name/nm2207222/ / Armie Hammer http://www.imdb.com/name/nm2309517/
Young John Galt - Nathan Gamble http://www.imdb.com/name/nm1997480/
Francisco D'Anconia - Bradley Cooper http://www.imdb.com/name/nm0177896/ / Christian Bale http://www.imdb.com/name/nm0000288/
Young Francisco D'Anconia - Jeremy Chabriel http://www.imdb.com/name/nm6170886/
Dagny Taggart - Jessica Chastain http://www.imdb.com/name/nm1567113/
Young Dagny Taggart - Mackenzie Foy http://www.imdb.com/name/nm3237775/
Ragnar Danneskjold - Henry Cavill http://www.imdb.com/name/nm0147147/ / Jared Leto http://www.imdb.com/name/nm0001467/
Kay Ludlow - Angelina Jolie http://www.imdb.com/name/nm0001401/
Nathaniel Taggart - Matt Bomer http://www.imdb.com/name/nm0093589/
Hank Rearden - Brad Pitt http://www.imdb.com/name/nm0000093/
Teenage Hank Rearden -
Lillian Rearden - Margot Robbie http://www.imdb.com/name/nm3053338/
Rearden's Mother -
Philip Rearden -
Dwight Sanders -
Eddie Willers - Chris Pratt http://www.imdb.com/name/nm0695435/
Young Eddie Willers -
Ellis Wyatt - Tom Hardy http://www.imdb.com/name/nm0362766/
James Taggart - James Franco http://www.imdb.com/name/nm0290556/
Young James Taggart -
Dagny's Father -
Dagny's Mother - Mia Wasikowska http://www.imdb.com/name/nm1985859/
Francisco's Father -
Francisco's Mother -
Sebastian D'Anconia - Javier Bardem http://www.imdb.com/name/nm0000849/
Sebastian's Mistress - Penélope Cruz http://www.imdb.com/name/nm0004851/
Hugh Akston - Clint Eastwood http://www.imdb.com/name/nm0000142/
Dr. Robert Stadler - Robert Redford http://www.imdb.com/name/nm0000602/
Richard Halley -
Judge Narragansett -
Owen Kellogg -
Gwen Ives - Mackenzie Davis http://www.imdb.com/name/nm4496875/
Wesley Mouch -
Floyd Ferriss -
Jeff Allen -
Orren Boyle -
Cherryl Brooks -
Ken Danagger -
Quentin Daniels - Jake McDorman http://www.imdb.com/name/nm1416330/
Halley's Pupil -


The Fountainhead
Howard Roark - Lee Pace http://www.imdb.com/name/nm1195855/
Dominique Francon - Amber Heard http://www.imdb.com/name/nm1720028/
Gail Wynand - Johnny Depp http://www.imdb.com/name/nm0000136/
Peter Keating -
Ellsworth Toohey -
Guy Francon -
Henry Cameron -
Mrs. Keating -
Catherine Halsey -

-_- Sorry if this the wrong category
Forgive me mods