The theme is parks, theme parks

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Across
  1. 3. The third-oldest operating amusement park in the world, opened in August 1843
  2. 4. A theme park jointly owned by Dolly Parton, and the largest ticketed tourist attraction in Tennessee
  3. 7. American theme park chain with marine mammal parks, oceanariums, animal theme parks, and rehabilitation centers
  4. 8. An indoor theme park in Tokyo, themed around Hello Kitty!
Down
  1. 1. The second-oldest operating amusement park in the US, located on a Lake Erie peninsula in Sandusky, Ohio
  2. 2. An American amusement park corporation, headquartered in Arlington, Texas - with properties in Canada, Mexico, and the US
  3. 5. A chain of theme parks focusing on a specific plastic construction toy
  4. 6. The mouse opened this park in Anaheim, in July 1955