You should first understand that there is no such thing as a 'wideband, DC to Daylight' antenna, unless you mean one with no gain.
Any plain old piece of wire is a 'broadband antenna' from this view, it just has some frequencies where it's better than others (its resonant frequencies).
Some antennas are bad for broadband use, as they use matching circuits that create a short circuit when not at the resonant frequecies, so they have LESS than zero gain. Many ham type multiband antennas will show this.
The Austin Condor antenna, for instance, is probably about the best you'll find for the VHF ranges, as it covers low band better than others (and is longer, as a result, not at all handy to walk around with).
Covering shortwave means longwire antennas, preferally tuned, but not necessarily.
You can find 'broadband' antennas which are essentially a telescoping mast and a base amplifier (requiring power), which amount to a zero gain antenna with signal boosted by the amplifier. These can be found for shortwave, or VHF, not sure if one's around for the full range. Functional, but expensive, and like all wideband amplifiers, can cause front end overloads/intermods from local strong signals.