Here's some basic info:
http://www.europeupclose.com/discovering-paris-theater/ As suggested, once you get there, grab a copy of PARISCOPE - not just for the theater listings, but museum info, etc. It's available at virtually every newstand and kiosk in the city.
(Looks as if the only big musical on view is THE LION KING.)
2016 These Paper Bullets (1/02) Our Mother's Brief Affair (1/06), Dragon Boat Racing (1/08), Howard - reading (1/28), Shear Madness (2/10), Fun Home (2/17), Women Without Men (2/18), Trip Of Love (2/21), The First Gentleman -reading (2/22), Southern Comfort (2/23), The Robber Bridegroom (2/24), She Loves Me (3/11), Shuffle Along (4/12), Shear Madness (4/14), Dear Evan Hansen (4/16), American Psycho (4/23), Tuck Everlasting (5/10), Indian Summer (5/15), Peer Gynt (5/18), Broadway's Rising Stars (7/11), Trip of Love (7/27), CATS (7/31), The Layover (8/17), An Act Of God (8/31), The Curious Incident of the Dog in the Night-Time (8/24), Heisenberg (10/12), Fiddler On The Roof (11/02), Othello (11/23), Dear Evan Hansen (11/26), Les Liaisons Dangereuses (12/21) 2017 In Transit (2/01), Groundhog Day (4/04), Ring Twice For Miranda (4/07), Church And State (4/10), The Lucky One (4/19), Ernest Shackleton Loves Me (5/16), Building The Wall (5/19), Indecent (6/01), Six Degrees of Separation (6/09), Marvin's Room (6/28), A Doll's House Pt 2 (7/25) Curvy Widow (8/01)