IMO the imperial system is full of these coincidences, and if you look at history, you can see how they emerged: from historical people changing the size of the units until they had enough useful coincidences.
A mile is about 1000 steps for a marching army, about 20 minutes of walking, or about 1 minute by car. Comfortable Farenheit temperatures roughly run from 0 to 100. A foot is about the length of a foot or a forearm, and an inch is about the length of the top joint of a thumb. 1/1000th of an inch (a "mil") is roughly the smallest discernable difference in size of objects when you look closely. People are about 6 feet tall. People weigh 100-200 lbs. The "lucky coincidences" continue. They do because they were evolved, not because they were accidents.
Contrast that with the metric system, which was built around properties of water and powers of 10 (which are not obviously better than the powers of 2 and 3 that the imperial system uses - next time you need a 1/3rd recipe you can see what I mean). It is not an accident that a day is 2x2x2x3 hours and an hour is 2x2x3x5 minutes (attempts to adopt metric time were proposed, but rejected). Neither is it an accident that a foot is 2x2x3 inches, and a mile is 2x2x2x2x2x3x5x11 feet (although I have never divided anything by 11 recently). Imperial volumetric measurements are basically binary fixed point: 1 gallon is 16 cups, and 1 cup is 16 tbsp. There are lots of historical names for the intermediate units, like quarts and furlongs, but those have evolved over a longer period of time.
For scientific use, the metric system is obviously a lot easier, and order of magnitude matters a lot more than easy divisibility and "feel" of a unit. For everyday use, I am not sold on it.