Seems like a lot of islands are missing out on big tourism money...
But many of them have! Bermuda, the British Virgin Islands, and the Cayman Islands all have extensive tourist facilities, for example. The Turks and Caicos Islands have a small tourist trade, mostly US and Canadian citizens. Anguilla has a nicely sized tourist component as well. Montserrat would be a lovely place to vacation, if it wasn't for the pesky volcano that's rendered half of the island uninhabitable. Gibraltar is a popular tourist spot
Then again, many of the BOTs would be less-than-ideal vacation spots. Pitcairn Island, for example, with its population of 56. Or the British Antarctic Territory, and its 400 people (during the summer)... though it would be fascinating to visit Antarctica.
Of course, we remember the last time the Falkland Islands got a large number of foreign visitors.
South Georgia / South Sandwich Islands have no permanent residents, and are located in one of the more miserable stretches of the South Atlantic.
There are two strips of land on Cyprus in the Mediterranean that are BOTs, both of which are essentally British military bases. Much the same can be said of British Indian Ocean Territory, best known for the US military base at Diego Garcia.
In essence, the BOTs that would be conducive to tourism (i.e., warm-weather climates) already are doing the tourist thing. The others are either too small, too horrible (weather-wise), or too military.
Now, why aren't the tourist BOTs as successful as Hawaii? The obvious reason is size. The British Virgin Islands cover about 59 square miles, all told. Bermuda is nearly 21 square miles in size.
The Hawaiian Islands are nearly 11000 square miles in size. There's plenty of space for tourists to see lots of different things, from relatively big cities (Honolulu, 400k people) to rolling plains of fresh lava, to jungles and beaches... and plenty of facilities for the residents to take tourist money, too.
I suspect, though I can't source it, that the US military presence in Hawaii plays a major role in tourism, too. Hundreds of thousands of sailors, marines, flyboys and soldiers have served at Pearl Harbor, the other bases there, or passed through them over the years, and they undoubtedly said "this would be a great place to visit if I wasn't in uniform." Then, when they were no longer in uniform, friends and families took vacations there on their advice.