A 37mm should not be able to kill a CV or a Cruiser or even a DD. Now it is possible to disable a Tiger with a 37mm if you hit it in the right place at an effective distance (600 or closer); the Tiger was damned near invincible but not completely. It is possible to shoot it's tracks off or, if scoring mutiple hits on the rear, you can blow it up; it's rear area where the engine and fuel were is extremely vulnerable.
For those who don't like the notion of field acks or their efficiency, then I suppose you prolly shouldn't be able to fly in over a base with huge numbers at 25k, scream down in a dive, and swarm it for the capture. A base is set up for defense and offense, a set of 37mm guns is not an effective way to defend a base, nor is a seaside base (on some maps) without 5 inch or 8 inch guns an effective way to defend a base. A massive GV attack should be a risky venture, with more (not less) ground assets availabe to counter the attack but, we don't have that; what we have, is what we have. If you are attacking a base in either a GV or an aircraft, perhaps a bit more respect of the ground defensive weapons would be in order; that way you may not be shot down by them (manned or unmanned).