There are lots of places to legally BASE jump in Europe. You can even take a gondola to the jump point. But very very few legal options in the USA.
I wish there were more places to legally enjoy BASE jumping on US public lands.
They don’t want to deal with the liability lawsuits.
It's legal by default on US federal land, (e.g. BLM or USFS) which covers about a fifth of the country, and is especially concentrated in areas with mountainous and other earthen terrain that is favorable to BASE jumpers. We just take a very small portion of that land, designate it national parks or forests, make everything illegal there, dump all of our tourists there, and charge them to park.
There's far more to see outside of those national parks and forests than there is inside. Look up any paragliders or bush pilots on YouTube that live near federal land, and they pretty much go wherever they want to go.
If you're an avid hiker or camper and are visiting the US, find local documentation on where to visit or befriend someone in the area who can make recommendations, and you'll get to see our natural landscape without all of the tourists or regulations. You can legally BASE jump off a cliff, hike in the nude, mine for gold, set up an impromptu gun range, and camp there for a couple of weeks, or indefinitely if you hike two miles each day.