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The last bottom part of the Modify panel has all the spring setting check those settings.

Is there a spring setting I am missing somewhere?  I have tried all of the suggestions in this thread, but the spring item stays rigid in every playback (even downloaded Rampa's spring...)

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This scene is what I wanted a more stable fluid motion to the camera.
The camera should follow the character but not laser aimed but subtle following of a character jumping in place.
I tried initially to attach the camera to a spring of a prop and have the prop look at the the avatar method.
But when the motion is too dynamic at any spring setting it didn't provide any significant difference to the camera's view.
So I tried the other method of putting the camera on look at to a prop ball attached to a spring of another prop that is attached to the character's hip. 
For a quickly moving character this works better. 

So if the camera stays in one place and pans, the delay tracker tripod head works great.
If the camera is dollying, then it's better to use the bone object attached to the actor, as the camera will be dragged behind the tripod movement and end up looking the wrong direction. You can compensate a bit with a stiffer spring.

I knew this would be a fascinating thread and quite amazing results.
I will try one of these camera rigs tonight.

Here is a spring delayed tracker for download and use. Think of it as a tripod head with adjustable delay. Now you don't need to attach anything to your character for the effect!
Have a look at the camera movement.


Load it in your scene. It is a blue arrowhead.
Create a camera and link it to the tracker. Then set the camera linkage to be to the last bone end of the tracker in the modify panel. Use the radio buttons to quickly align your camera to the proper location.
Right-click on the tracker and select "look at". Pick your chosen target. The tracker will point at and track the target. The camera will lag a little bit, and then catch up.
You can adjust the amount by playing with spring sliders of the tracker, or by translating the camera forward or back to increase the moment arm.
Have fun! :)

I appreciate the "spring" experiments.  Good stuff.
Looking at TSL's video, I'd like to remove about 90% of the vertical motion and then I think it would be awesome.

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That was my next goal! :)

The springs do not twist, so to do this you need a rotational spring turned on its side. Two bones are all you need, with the camera linked to bone 2. Make sure you have the axis you want pointing at the target be negative Y. I prototyped with an antenna spring changed to rotational. If you use the linear spring, each bone rotates to look at the target, so you lose the effect. The rotational behaves in a more standard way where each bone rotates off the rotation of the previous one.

@toystorylab: That looks pretty convincing to me. Something to add to the toolbox.

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