hgonzal---The stability of a transport is one thing, it's ability to provide isolation from external bumps and vibration another. Though you're not asking for info on isolation equipment, that is exactly what will provide you with what you are looking for.
The best are the microscope platforms by Newport and MinusK, but they cost in excess of $2000. A "medium" priced alternative is what folkfreak recommended, the Seismic Platform by Townshend Audio of England, priced under $1000. Cheaper yet, and just as good, is a trio or quartet of Townshend Seismic Pods, individual footers that come in different weight ratings. Details are available on the Townshend website, as is a video discussing and demonstrating the effectiveness of the Seismic products.
If you're a DIYer, you can make an airbearing isolation platform by putting a very slightly inflated inner tube between two planks of wood, MDF, granite, whatever. If you then put a trio of roller bearings on top of that, and your CD transport/player on top of them, you will have very effective isolation down to 5Hz or so, at relatively low cost.
The old rubber isolators, Sorbothane and Navcom, provide isolation down to a not-very-low frequency, and their use results in rather soft, "spongy" bass. Isolation cones and spikes are also good down to the mid-teens or slightly lower---not low enough. Below that frequency they act as couplers, not isolators.