WARNING! - This bit isn't as "quick" as most others in the series!The mottoes "LIBERTY" - "IN GOD WE TRUST" and "E PLURIBUS UNUM" are standard on today's US circulation coins and have been dating back to the introduction of the 1892 Liberty Head / "Barber" dime, quarter and half dollar designed by
Charles Barber. The same can't be said for US commemorative coins, however. Early US commemorative coins typically lacked at least one of the mottoes, and all three on more than a handful of issues.
First, let's have a look at the statistics:
There are 50 Types of classic-era silver US commemorative coins (48 half dollars, 1 quarter dollar and 1 dollar) - some Types have varieties - and nine Types of classic gold US commemorative coins (6 dollars, 2 quarter eagles and 1 quintuple eagle) - as with the Silver coins, some gold Types have varieties. Thus, a total of 59 Types within the overall series.
Note: For the purposes of this post, I am ignoring the circulating commemorative coins that many collectors - erroneously IMO - do not consider part of the series (e.g., 1909 Lincoln Cent, 1921 Peace dollar and 1932 Washington quarter).Here's a US commemorative coin breakdown by motto inclusion among the 59 Types:

Types with E PLURIBUS UNUM: 40 (67.8%)

Types with IN GOD WE TRUST: 49 (83.1%)

Types with LIBERTY: 31 (52.5%)

Types with NO Mottoes: 9 (15.3%)

Types with ALL Mottoes: 29 (49.2%)
Now, for the categorical listings:
Coin Types WITHOUT ANY of the Mottoes - 9 in Total- 1892-93 World's Columbian Exposition - Columbus Half Dollar
- 1893 World's Columbian Exposition - Isabella Quarter Dollar
- 1900 Lafayette Memorial Dollar
- 1903 Louisiana Purchase Exposition Gold Dollar - Jefferson
- 1903 Louisiana Purchase Exposition Gold Dollar - McKinley
- 1904-05 Lewis & Clark Exposition Gold Dollar
- 1915 Panama-Pacific International Exposition - Gold Dollar
- 1916-17 William McKinley Gold Dollar
- 1921 Missouri Statehood Centennial
Coin Types with "E PLURIBUS UNUM" ONLY - 1 in Total- 1915 Panama-Pacific International Exposition - Gold Quarter Eagle
Coin Types with "IN GOD WE TRUST" ONLY - 8 in Total- 1915 Panama-Pacific International Exposition Half Dollar
- 1920-21 Landing of the Pilgrims Tercentenary
- 1921 Alabama Statehood Centennial
- 1923 Monroe Doctrine Enunciation Centennial
- 1924 Huguenot-Walloon Tercentenary
- 1925 Lexington-Concord Sesquicentennial
- 1925 Fort Vancouver Centennial
- 1926-39 Oregon Trail Memorial
Coins with "LIBERTY" ONLY - 0 in Total- None
Coin Types with "E PLURIBUS UNUM" and "IN GOD WE TRUST" ONLY - 10 in Total- 1915 Panama-Pacific International Exposition - Gold $50 (Round, Octagonal)
- 1922 US Grant Birth Centenary - Gold Dollar (Plain, w/ Star)
- 1922 US Grant Birth Centenary - Silver Half Dollar (Plain, w/ Star)
- 1927 Battle of Bennington-Vermont Independence Sesquicentennial
- 1928 Hawaii (European) Discovery Sesquicentennial
- 1934 Maryland Tercentenary
- 1934-38 Daniel Boone Birth Bicentennial
- 1934-38 Texas Independence Centennial
- 1935 City of Hudson Sesquicentennial
- 1935-39 Arkansas Statehood Centennial
Coin Types with "IN GOD WE TRUST" and "LIBERTY" ONLY - 2 in Total- 1935-36 California-Pacific International Exposition ("San Diego")
- 1936 San Francisco-Oakland Bay Bridge Opening
Coin Types with "E PLURIBUS UNUM" and "LIBERTY" ONLY - 0 in Total- None
Coin Types with ALL THREE Mottoes - 29 Total- 1918 Illinois Statehood Centennial
- 1920 Maine Statehood Centennial
- 1925 Stone Mountain Memorial
- 1925 California Statehood 75th Anniversary
- 1926 American Independence Sesquicentennial - Gold Quarter Eagle
- 1926 American Independence Sesquicentennial - Silver Half Dollar
- 1935 Connecticut Tercentenary
- 1935 Old Spanish Trail
- 1936 Albany, NY Charter 250th Anniversary
- 1936 Arkansas Statehood Centennial - Robinson
- 1936 Bridgeport, CT Centennial
- 1936 Cincinnati, OH Music Center
- 1936 Cleveland, OH Centennial
- 1936 Columbia, SC Sesquicentennial
- 1936 Delaware-New Sweden Tercentenary
- 1936 Elgin, IL Centennial
- 1936 Battle of Gettysburg 75th Anniversary
- 1936 Long Island Tercentenary
- 1936 Lynchburg, VA Sesquicentennial
- 1936 Providence, RI Tercentenary
- 1936 Wisconsin Territorial Centennial
- 1936 York County, ME Tercentenary
- 1937 Battle of Antietam 75th Anniversary
- 1937 Norfolk, VA Bicentennial/Tricentennial
- 1937 Roanoke Colony Memorial
- 1938 New Rochelle. NY Centennial
- 1946 Iowa Statehood Centennial
- 1946-51 Booker T. Washington Birthplace Memorial
- 1951-54 George Washington Carver-Booker T. Washington
And now you have a quick reference guide to mottoes on classic-era US commemorative coins.
For other of my posts about commemorative coins and medals, see:
Commems Collection.