For fun I decided to test the Harrier Gr.5 (11-61 engine) time to climb record. From a vertical take off a 45 degrees climb to 3,000 feet and a near vertical climb it reached 30,000 feet in just 1:21 seconds. (Water injection on take off lift dry for flight)
The Harrier in game following the same profile can only achieve 18,000 feet this is likely due to the massive amounts of missing thrust.