There is only one absolutely guaranteed to do what you're asking, and then some! It's the Line 6 Variaxe Bass, see a demo on YouTube, it features Modelling Technology so one minute it can be a Precision and the next a Gibson Thunderbird, then if you fancy, a Rickenbacker 4001 Stereo, still not happy? What about a MusicMan Stingray? All of this in one bass, check it out on YouTube.