Body-on-frame SUVs are also big in Australia. Most of the major companies there make one: Ford Everest, Holden TrailBlazer, Toyota Fortuner, etc.
Oddly enough, in the US body-on-frame SUVs are basically dying. They're only viable in the full-size segment, which is nonexistent in Europe. And we only have four companies that make them in that segment. We have the GM triplets (Chevy Tahoe/Suburban, GMC Yukon family, Cadillac Escalade family), the Ford twins (Ford Expedition/Lincoln Navigator), the Nissan twins (Nissan Armada/Infiniti QX80), and some offerings from Toyota (the Toyota Sequoia and the Toyota Land Cruiser/Lexus LX twins). And the only reason these still exist is because there are some upper-middle-class people who want to tow a boat or an RV trailer while hauling the whole family, and that's hard to do with a unibody (tho I'd love to see how the new Ford Explorer handles that, being RWD and all).
Smaller body-on-frame SUVs died here a long time ago, with the remaining stragglers being the Jeep Wrangler and Toyota 4Runner/Lexus GX twins... and both of those are also sold in Europe (with the latter being called the Toyota Land Cruiser in Europe, while Toyota in the US uses the Land Cruiser name for a larger SUV).
Honestly, I'm expecting full-size body-on-frame SUVs to eventually start dying off here as crossovers get larger and more powerful. Big crossovers like the Chevy Traverse can replace the Tahoe for most purposes that don't involve towing. And I'm definitely expecting the new Ford Explorer to cannibalize Expedition sales... it's almost as big now, and it's actually RWD. If Ford ever decides to make a second-generation Flex on a stretched Explorer platform, that could put the Expedition in a world of hurt (and I'm convinced the reason Ford has let the Flex die on the vine on purpose to keep it from torpedoing the Expedition). I don't think the big ones will go away entirely, because... well, because boats, but it's definitely going to become a much more niche segment.