According to ANN, Toonami will premiere the Evangelion 1.11 - You Are (Not) Alone movie next Sunday, March 17th at 1:00 AM as part of the "Toonami Birthday Party" lineup. The announcement was first made at Toonami's question-and-answer panel at Atlanta's MomoCon event on Sunday.
Also apparently happening- the return of One Piece
later this year, as well as a new look for the block, a new logo
and host TOM 5, who will debut in April.