Visible crew/equipment: When the Red October sub has surfaced to let the crew get off because of the supposed nuclear leak, there is a brief shot where you can clearly see the camera and its filming crew in their tennis shoes on the deck. (01:45:52)
Visible crew/equipment: When Jones the Sonar operator detects the Red October for the final time via his headphones, he is talking to someone next to him. The whole time he is doing this, a microphone boom is constantly bobbing into view from above his head.
Visible crew/equipment: In the scene where Ryan is being flown out to the Dallas, the door crew member looks out and says, "Yo, got a sub about 2 miles out." If you look closely in his goggles, you can see the reflection of the crew. (01:45:30)