They could still change within a week, but here are my current predictions for the nominations:
Best Musical:
An American in Paris
Fun Home
Honeymoon in Vegas (if there's a fifth nominee)
Something Rotten!
The Visit
Best Play:
The Audience-Peter Morgan
The Curious Incident of the Dog in the Night-Time-Simon Stephens
Disgraced-Ayad Akhtar (if there's a fifth nominee)
Hand to God-Robert Askins
Wolf Hall-Mike Poulton
Best Revival of a Musical:
The King & I
On the Town
On the Twentieth Century
Side Show (if there's a fourth nominee)
Best Revival of a Play:
The Elephant Man
The Heidi Chronicles
It's Only a Play (if there's a fifth nominee)
Skylight
You Can't Take It With You
Best Performance By a Leading Actor in a Musical:
Michael Cerveris-Fun Home
Robert Fairchild-An American in Paris
Brian d'Arcy James-Something Rotten!
Ken Watanabe-The King & I
Tony Yazbeck-On the Town
Best Performance By a Leading Actress in a Musical:
Kristin Chenoweth-On the Twentieth Century
Lisa Howard-It Shoulda Been You
Beth Malone-Fun Home
Kelli O'Hara-The King & I
Chita Rivera-The Visit
Best Performance By a Leading Actor in a Play:
Steven Boyer-Hand to God
Bradley Cooper-The Elephant Man
Ben Miles-Wolf Hall
Bill Nighy-Skylight
Alex Sharp-The Curious Incident of the Dog in the Night-Time
Best Performance By a Leading Actress in a Play:
Geneva Carr-Hand to God
Helen Mirren-The Audience
Elisabeth Moss-The Heidi Chronicles
Carey Mulligan-Skylight
Ruth Wilson-Constellations
Best Performance By a Featured Actor in a Musical:
Clyde Alves-On the Town
Tony Danza-Honeymoon in Vegas
Jay Armstrong Johnson-On the Town
Andy Karl-On the Twentieth Century
Paul Alexander Nolan-Doctor Zhivago
Best Performance By a Featured Actress in a Musical:
Victoria Clark-Gigi
Megan Fairchild-On the Town
Judy Kuhn-Fun Home
Sydney Lucas-Fun Home
Ruthie Ann Miles-The King & I
Best Performance By a Featured Actor in a Play:
James Earl Jones-You Can't Take It With You
Alessandro Nivola-The Elephant Man
Nathaniel Parker-Wolf Hall
Bryce Pinkham-The Heidi Chronicles
Micah Stock-It's Only a Play
Best Performance By a Featured Actress in a Play:
Annaleigh Ashford-You Can't Take It With You
Patricia Clarkson-The Elephant Man
Lydia Leonard-Wolf Hall
Kristine Nielsen-You Can't Take It With You
Sarah Stiles-Hand to God
Best Direction of a Musical:
Scott Ellis-On the Twentieth Century
Sam Gold-Fun Home
John Rando-On the Town
Bartlett Sher-The King & I
Christopher Wheeldon-An American in Paris
Best Direction of a Play:
Stephen Daldry-Skylight
Marianne Elliott-The Curious Incident of the Dog in the Night-Time
Scott Ellis-You Can't Take It With You
Jeremy Herrin-Wolf Hall
Moritz von Stuelpnagel-Hand to God
Best Original Score:
Fun Home-Music By Jeanine Tesori, Lyrics By Lisa Kron
Honeymoon in Vegas-Music & Lyrics By Jason Robert Brown
The Last Ship-Music & Lyrics By Sting
The Visit-Music By John Kander, Lyrics By Fred Ebb
Best Book of a Musical:
An American in Paris-Craig Lucas
Fun Home-Lisa Kron
Honeymoon in Vegas-Andrew Bergman
The Visit-Terrence McNally
Best Choreography:
Joshua Bergasse-On the Town
Warren Carlyle-On the Twentieth Century
Denis Jones-Honeymoon in Vegas
Casey Nicholaw-Something Rotten!
Christopher Wheeldon-An American in Paris