As they say it all depends. The Concorde is much bigger than any current supersonic military aircraft so it’s going to have a bigger shockwave - a louder sonic boom. Of all supersonic military aircraft I think only the XB-70 was comparable in size.
One of the coolest sonic booms I’ve heard is from an F-14 close to the USS Ranger. In the late summer of '83 we were stationed off the west coast of central america as a “show of force.” We did this by inviting various heads of state, etc. to the ship to watch a weapons demonstration, kind of an air show with live ammo. We’d launch planes then put folding chairs on the flight deck for the dignitaries to watch. An A-7 would strafe with the gun and make some splashes. An A-6 would drop twelve thousand pounds of iron bombs in the water and kill a few flying fish.
The climax was the supersonic pass by an F-14. A really close pass. Just a hair above flight deck level which is 65 feet off the water and not much more than a hundred feet away. I talked to one of the pilots who said he tried to pass the ship doing about a thousand knots IAS. It was kind of spooky to watch the plane barreling down on us at eye level with no sound. Little clouds would appear to “pop” into and out of existance around the plane as water vapor was squeezed out of the air by the shock wave. He’d pass teh ship and BA BAM!. Every single person in a chair was knocked over backwards. After the first day we didn’t put out folding chairs and let the dignitaries watch from the island.
On another occasion I was getting chow during the flyby. I was below decks in the hull, close to the waterline and I could feel the shockwave even surrounded by tens of thousands of tons of steel.