From: Fort Wayne IN USA
There were lots of collisions in WWII IRL. Two notable ones that come to mind...
Two USN fast BBs, Washington and (IIRC) South Dakota.
The Queen Elizabeth cut an escort in half when nearing port once.
Actually it was the Queen Mary, and the unfortunate victim was HMS Curacoa. My grandfather went to Britain with his unit aboard the QM, but not on that voyage.
Other notable collisions include HMS Punjab's being run down by HMS King George V and the collision between IJN Mogami and IJN Mikuma which led to the latter's being sunk by SBDs at Midway.
Near misses also occured. From The Big E, by Edward P. Stafford (p. 365, Naval Institute Press edition):
At 5:00 a.m. on the twenty-eighth [of May, 1944], an Enterprise ensign gave some very bad moments to a great many other men, including a highly articulate command echelon of one vice admiral, one rear admiral, and two senior captains. He ordered left rudder instead of right in executing the zigzag plan. For a horrible minute, Enterprise, flying the two-star flag of Rear Admiral J. W. "Black Jack" Reeves, commanding Task Group 58.3, and Lexington, with Vice Admiral Marc Mitscher, Commander Task Force 58 embarked, angled toward each other and a catastrophic collision at 18 knots. The error was discovered in seconds and collision averted, but [Captain] Mat Gardner did not recover his calm good humor for two days, and it was many weeks and hours of instruction later that the ensign again stood watch on the Big E's bridge as junior officer of the deck.
"I know Japanese. He is very bad. And tricky. But we Americans too smart. We catch him and give him hell."
--Benny Sablan, crewman, USS Enterprise 12/7/41