Anyways, it still seems to meet your criteria:
>the United States still maintains nearly 800 military bases in more than 70 countries and territories abroad—from giant “Little Americas” to small radar facilities. Britain, France and Russia, by contrast, have about 30 foreign bases combined.
https://www.politico.com/magazine/story/2015/06/us-military-...
The point in this context is that the US's web of influence extends outside of the areas in which they have a direct structure of power in place (and isn't consistent within those that it does) - those points, in this sense, imply an "Empire" (quotes, as nebulous), rather than an Empire (the defined thing).
I'd probably call Gitmo part of an empire, since the presence is hostile. But the rest of those bases is more or less volunatry. Ok maybe Japan and can't really say no, but the rest of those bases are voluntary.
If America has an empire, it's rather small. Puerto Rico, Guam, American Somoa, Northern Mariana Islands, and US Virgin Islands.
The political control was solidified over the past 100+ years for the benefit of US corporations. Countries which worked towards self-determination because they didn't like seeing the natural wealth of their land expropriated were labeled as communist, and had their governments overthrown with covert coups, assasinations, and mercenary armies.
>I spent 33 years and four months in active military service and during that period I spent most of my time as a high class muscle man for Big Business, for Wall Street and the bankers. In short, I was a racketeer, a gangster for capitalism. I helped make Mexico and especially Tampico safe for American oil interests in 1914. I helped make Haiti and Cuba a decent place for the National City Bank boys to collect revenues in. I helped in the raping of half a dozen Central American republics for the benefit of Wall Street. I helped purify Nicaragua for the International Banking House of Brown Brothers in 1902-1912. I brought light to the Dominican Republic for the American sugar interests in 1916. I helped make Honduras right for the American fruit companies in 1903. In China in 1927 I helped see to it that Standard Oil went on its way unmolested. Looking back on it, I might have given Al Capone a few hints. The best he could do was to operate his racket in three districts. I operated on three continents.
-Major General Smedley Butler
Current-day Italy can boss San Marino and the Vatican State around, current-day Britain has a scattering of islands around the world. Current-day Italy indubitably has the military force to beat San Marino, Britain did actually win back the Falklands but its victory didn't seem self-evident at the time.
When I squint at the map, the US foreign dominions and military bases look a little on the large side for a plain country, but ridiculously small for an empire. The US military is all over the world and has very impressive weaponry, but was beaten quite thoroughly by the Viet Cong, hasn't beaten the Taliban and and gave up after the first attack by Hizbollah.
"Empire" in quotes looks quite appropriate to me.