Well, yes... but good fluorescents come at least that close. Look for tubes with a colour rendering index of at least 90. They will be referred to as "colour 9xx", where the second two digits refer to the colour temperature. These tubes are usually not as bright as standard ones, but offer a smoother spectrum.
Off the top of my head, one such range is Osram's "Lumilux Deluxe", at least in Europe.
Osram and Philips have both recently brought out another range of tubes with *really* good colour rendering (CRI of 98 or so), but they're pretty dim for the power input. The Philips one goes by the name of "Graphica" in Europe, I can't remember what Osram call them. ISTR that they're only available at a 6000K colour temp or thereabouts, and I
*think* that they may only be in T8.