While more of a city example, The Winchester Mystery House gets far more visitors out of area than those living in Silicon Valley. In fact billboards can be seen in the Los Angeles area.
Israel itself fits this trope. It's easy to criticize Israel in the mainstream Israeli media (though not as common as is often claimed), and in many countries around the world. Criticism of Israel in the US media, however, will often be equated with pure antisemitism. In part, this is due to the US's prominent Jewish population (especially considering its hovering-around 2% proportion, depending on how you define it) and the US-Israel political alliance that goes back decades. This alliance naturally strains relations with Arab nations.
This also happens within the U.S. The biggest Israel supporters are right-wing Evangelical Christians, in part because of an oversimplification of what's really going on in the Middle East, in part because of a distrust of Muslim motivations, and in part because it seems fair that they have their own land.
7-Eleven is a very popular convenience store chain in Japan and Taiwan (in fact, the #1 convenience store chain in both countries). The former having the largest number of stores and the latter having the most per capita. It started as a firm in Texas and became a subsidiary of Japanese owned Seven & I Holdings Co—the owner of its Japanese licensee—in 2005. You can find a wide variety of items there that would not appear elsewhere, such as various packaged meals, magazines, and electronics. You can also pay bills and develop photos, among other things. Don't expect Slurpees, though: they had never caught on there... until 2011, when they start selling them again (in select outlets at 1st).
Even more exaggerated in the case of the second-largest chain of convenience stores in Japan, Lawson. Lawson was originally from Akron, Ohio, and the Japanese company of the same name was originally its Japanese licensee. Unlike 7-Eleven, which still exists in the US, Lawson actually disappeared from the US in the 1980s.
It's now returned to the U.S., as two new stores have been planned to open in Hawaii. 
Citizens of The Commonwealth of The Bahamas LOVE Wal-Mart. In fact, it is almost considered religious sacrilege NOT to go there when visiting The United States.
So do Mexicans. Walmart is more popular in Mexico for buying groceries over smaller supermarkets, which are generally considered to have poorer quality, and some of the smaller supermarket chains are actually state-owned.
The American dollar coin. Far more widely used in Ecuador than in the U.S. (Ecuador also uses the American dollar.)
And not just any coin but the Sacagawea dollar◊ coin representing a Native American women carrying her child in his back, in fact some people believe it's Ecuadorian coinage as that scene is something you will see more frequently in Ecuador than in the US.
Has happened twice with Sudoku. It was first invented in America in 1979, and was pretty obscure. However, in 1986, it achieved popularity in Japan. In 2005, the puzzle as well as the name itself achieved worldwide popularity.
Pretty much the same thing happened with Kakuro.
Supposedly, many more foreigners than native Japanese climb Mt. Fuji.
Friendster is an American company but a vast majority of its users are in Asia. That is, until it folded.
Orkut originated in the U.S. but was very popular among Brazilians, to the point where their servers were moved to Brazil.
Many kinds of crops and livestock have been fundamental to economies far away from their origins. Several Old World species (wheat, sugarcane, grapes, bananas, coffee, cotton, citrus fruits, bananas, cattle and sheep) have been most extensively produced by New World countries (sheep in Australia & New Zealand, cotton in the Deep South, sugar in the Caribbean, etc).
Don't forget potatoes, which invert the above by being New World plants popular in the Old World. Native to the mountains of the Andes, we humans spread them across the world because they grow well in cool, wet climates.
There is a little-known fact about the history of rice cookers—the first rice cooker, released by Toshiba in 1956, requires a small amount of water to be poured in the space between the sleeve and the insert to ensure uniform cooking and also act as a kind of timer. Technologically it was rendered obsolete in the following year when Panasonic introduced what is now the basic design for rice cookers worldwide—except Taiwan. Up to this day, Taiwanese knockoffs of Toshiba's 1956 design still dominated the market and is considered the single appliance that identifies Taiwanese cooking—to wit, one can safely assume any young Taiwanese that is going to study overseas will have one in their luggage.
Lions. They're just so cool that many nations put them on their national symbols, even if lions haven't been around in their countries for thousands of years (or were never there in the first place).
Thanks to a large immigrant population in America, U.S. automakers opened manufacturing plants in Scandinavia to build American market cars instead of European market cars. This led to local Raggare hot rod culture mirroring America's, and created a massive import market for muscle cars during the 1970s fuel crisis. Today, the largest American car show in the world is Sweden's Power Big Meet.
Guam is an island out the Pacific Ocean that's officially owned by the the United States, but it's only a territory, not a state. In fact, there's a lot of US citizens that don't even know Guam exists. However, Guam is seen as a very popular vacation resort in Japan, to the point where Guam actually gets most of its money from Japanese tourists.
Hawaii is also very popular with Japanese tourists, but they're more likely to hit the shopping malls instead of the beaches. Hawaii rakes in more money from Japanese tourists than it does from Americans.
A typical Italian joke about the Adriatic seaside is that there are more German tourists than Italian.
In a major tourist city in Tuscany, more English than Italian can be heard on the street. The number of British and Americans is enough to overwhelm the natives. A large number of Brits have already bought property and relocated there.
Most visitors to the Eiffel Tower are tourists rather than Parisians. In general, this happens a lot with major tourist destinations.
South Korea loves breakdance and hip-hop. Brought over by American Soldiers in the 80's, they became very popular in the 90's.
The stereotype in Washington is that Evergreen State College tends to enjoy a much better reputation out of state than in state.
The Boeing 747 is more popular with Asian and European airlines than with U.S. carriers. There are no American airlines that have ordered the latest incarnation, the 747-8.
It's amazing how many people are fluent in English, even where it's not an official language.
In studies, the most fluent speakers outside of the U.S. and the U.K. come from the Netherlands or the Nordic nations. In fact, the Netherlands have shown that 90% of the population can speak English fluently, even more so than Canada. (Granted, French is another language in Canada.)
For many years, Parisian was a popular department store serving the more upscale malls in the Deep South. However, they had a handful of stores in Ohio, three in metro Detroit, and one in Indiana. Although most of the Parisian stores were closed or sold to Belk in 2006, the three Detroit stores were apparently popular enough to retain the Parisian name for nearly seven years, when they were ultimately rebranded as Carson's.
Pennsylvania-based drugstore chain Rite Aid is extremely popular in California, which is second only to New York in number of stores. Michigan is also a very strong market for them. Most of the California stores were Payless Drug, while many of the Michigan stores were either Perry Drug or late-1990s relocations of the same.
A&P has been withdrawing from large chunks of the U.S. since the 1930s, yet it continues to do fairly well in the Northeastern United States. In particular, sister chains Waldbaum's and Pathmark hold their own in New York and New Jersey, respectively.
Like Israel, the United States seems to be more popular in the Phillipines, Kenya and Ghana.
A similar case happens with Japan, which while most Japanese feel indifferent about their country (outside of the ultra-right wings of course), the European countries, the U.S., Canada, Nigeria, Indonesia, Australia, New Zealand (the latter three of which were targets of Japan during World War 2) and even Russia (who still hold many disputes over land territories, and have for time not even had relations) have a better view of Japan than the Japanese themselves.
The same thing happens to the U.K. Outsiders, particularly Americans, tend to have a better view of the country, thanks to the large amount of media it produces. Natives tend to think of the U.K. as a cultural backwater.
Woolworths - its cheap-prices/low-quality business model, as well as their random assortment of products and disorganised shop layout, saw them go out of business in their native Britain. In Australia, however, they are part of the major supermarket duopoly, with a completely different customer base and thousands of shops across the country.
The British Woolworth was broken off the American one in 1982. For reference, the American chain went under in 1997 after struggling for many years, but fragments of it live on in the forms of Foot Locker and Champs Sports. Its demise was largely due to the "dime store" concept becoming Deader Than Disco in the wake of Walmart and other "big box" stores.
Woolworth's discount store division, Woolco, closed its U.S. stores in 1982 as they were unprofitable in the then highly-crowded discounter market. However, Woolco stayed in Canada until 1997, when most of their stores were sold to Walmart. (Coincidentally, many of the Midwestern stores also went to Walmart.)
Kmart, which has struggled in the discount department store field since Walmart's rise to power in the early-mid 90s, maintains a degree of popularity in some areas. Most notably, the largest Kmart in the chain is located in Guam, which has exactly zero Walmart stores. It's also still possible to find a few scattered small towns here and there that still have a Kmart but no Walmart. The Australian division is also popular, but no longer under the same ownership.
The Society For Creative Anachronism tends to be a very serious history re-enactment society in Scandinavia and Northern Europe, while it is more like dressing in fancy costumes and having fun in US.