Hmm, this may take a little while.
First, in my Passport books:
Jean Lafitte National Historical Park & Preserve	New Orleans, LA
Jefferson National Expansion Memorial			St. Louis, MO
Ulysses S. Grant National Historic Site			St. Louis, MO
Lewis & Clark National Historic Trail			St. Louis, MO
Mammoth Cave National Park				Mammoth Cave, KY
Vicksburg National Military Park			Vicksburg, MS
Castle Clinton National Monument			NY, NY
Statue of Liberty National Monument			NY, NJ
Dayton Aviation Heritage Natl Hist Park: Cycle Shop	Dayton, OH
Effigy Mounds National Monument				Harpers Ferry, IA
Rocky Mountain National Park				Estes Park, CO
Dinosaur National Monument				Jensen, UT
Hagerman Fossil Beds National Monument			Hagerman, ID
Florissant Fossil Beds National Monument		Florissant, CO
Minidoka National Historic Site				Jerome County, ID
Craters of the Moon Natl Mon & Preserve			ID
Oregon National Historic Trail				ID, WY
Yellowstone National Park				WY
Little Bighorn Battlefield National Monument		Crow Agency, MT
Theodore Roosevelt National Park, South Unit		Medora, ND
Wind Cave National Park					Hot Springs, SD
Badlands National Park					Interior, SD
Minuteman Missile NHS					Wall, SD
Haleakala National Park, both sections			Maui, HI
Independence National Historical Park			Philadelphia, PA
Gettysburg National Military Park			Gettysburg, PH
California National Historic Trail			WY, UT
John D. Rockefeller, Jr. Memorial Parkway		WY
Natchez Trace Parkway					MS
Blue Ridge Parkway					VA
Grand Teton National Park				WY
Santa Monica Mountains NRA				Santa Monica, CA
Juan Bautista de Anza National Historic Trail		CA
Sequoia National Park					Visalia, CA
Fossil Butte National Monument				Kemmerer, WY
Well, that is all the stamps in my passports. But I have been to a few other places, will have to check by memory now.
Flaming Gorge National Recreation Area		WY, UT
Everglades National Park			FL
Shenandoah National Park			VA
Boston National Historical Park			Boston, MA
Mount Rushmore National Memorial		Keystone, SD
Arlington House, The Robert E. Lee Memorial	Arlington, VA
United States Marine Corps War Memorial		Arlington, VA
Lincoln Memorial				Washington, DC
Thomas Jefferson Memorial			Washington, DC
Washington Monument				Washington, DC
Vietnam Veterans Memorial			Washington, DC
Arlington National Cemetery			Arlington, VA
Appalachian National Scenic Trail		VA
I really like our National Park system. Wish I had some skill sets for getting hired there. The Parkways and Trails I have spent some time on, either driving or hiking. I have driven through some other NRAs, but only included the 2 I spent any time in looking around. And I guess Flaming Gorge does not count, since it is actually part of the Forest Service.
I need to get back to DC sometime. Haven’t seen the Korean or WW II memorials yet. But there are a lot of other places I want to get to also. I have a lot of room in my National Park Passport yet. 
We are doing other countries too? Not too many yet. None at all in Dominican Republic, Italy, and India.
Canada, several Provincial Parks, but for national:
Georgian Bay Islands National Park	Ontario
Australia, confusing set up, a lot of stuff is called National parks, but ran by the states and/or territories:
Uluru-Kata Tjuta
West Macdonnell
Watarrka National Park
Port Arthur
Richmond Gaol
UK:
Peak District