In no particular order, and not differentiating between national parks, monuments, historical parks, lakeshores, etc.:
Acadia
Great Smoky Mts
Glacier
Glacier Bay (AK)
Grand Teton
Grand Canyon
Mesa Verde
Theodore Roosevelt
Devils Tower
Gettysburg
Valley Forge
Great Sand Dunes (CO)
Sleeping Bear Dunes (MI)
Indiana Dunes (IN)
Washington DC monuments & parks – Lincoln, Jefferson, Washington, Korean War, Vietnam War, FDR
Independence Hall
Mammoth Cave
Yellowstone
Death Valley
Olympic
Crater Lake
Craters of the Moon (ID)
Badlands
Hawaii Volcanoes
Virgin Islands NP (St John, USVI)
Zion
Bryce
Joshua Tree
Effigy Mounds
Ft Pulaski
Ft Sumter
Natchez Trace
Misty Fjords (AK)
Shenandoah
Little Bighorn
Statue of Liberty
Wind Cave (SD)
me only: Rocky Mountain
hubby only: Carlsbad Caverns
Everglades
I guess we've done pretty well. I probably left some off - just doing this off the top of my head. More to see!