For coffee without caffeine there is Decaffeinated blend. Decaffeinated blend is manufactured by the most brands of coffee. The removal of caffeine is carried out by the method Swiss Water Process.
In the Swiss Water Process, however, the water is stripped of its caffeine, not by a solvent, but by percolation through activated charcoal. (It really ought to be called the Swiss Charcoal Process.) The beans are returned to the hot water, where they reabsorb the remaining, caffeine-free flavor constituents from the water.
With the above method is removed from the coffee bean 99.9% of the caffeine, maintaining the original flavor, body and the aromas.