Vandersteen 3A Sig vs. Von Schweikert VR4 Jr.

Not being a fan of Vandersteens, I would opt for the VR4 Jrs. However, if you like your music on the warm, laid back side of reality, the 3As might be for you. I find Vandersteens to be non-offensive and easy to listen but hardly transparent or resolving. A matter of taste I suppose, but the VS would be my choice.

Oz

Its hard to beat the sound of the VR4JRS -they do so much with their size -excellent on audio and video -one of the best buys in their class and above

Depends what you're looking for, and where you're headed with your audio system. Vandies are almost universally recognized as great speakers, but aren't the best for heavy metal, etc. They require lots of power, sound best when bi-amped with either high output tube amps or solid state with perhaps a tube pre-amp. Form follows function with Vandies, as they are not breathtakingly beautiful but image like electrostatics when properly set up. I think we're seeing many for sale now that the Quattro is being introduced, so it should be a buyers market. The VR4jr is beautiful to behold and more efficient. I understand that they image better with tube amps than with solid state. With Sim Audio gear, they were slightly boxey, a little sibilant, ever so slightly unresolving at lower volumes, but they rocked on rock music. Note that Vandies are time and phase coherent, and VR4jr's are... well you read the literature and tell me. Neither one would be my first choice, because I can't afford a pair of megawatt tube amps, and I want better imaging than VR4jr.
Ophelia

I don't know that the VR-4 jr's would be my first choice in the $4K price range either but, they would certainly be among the handful of contenders at that price range and, they image beautifully. Like all speakers, set up is important. I heard them in a 9' triange with liberal room treatments and there was never an indication of muisc coming directly from either speaker. They were very holographic with stable and reasonably precise imaging. Having said that, the image will come forward a couple feet or, drop back several feet from the plane of the speakers. Personally, I prefer the image to come forward enough to be in your lap or, drop well behind the speaker plane according to the recorded media.

I listened to them with the Bel Canto evo series amplifier and preamp. The sound was impressive.

I will mention that to my ears the Vandersteens are closer to reality than most speakers - including those mentioned here. Obviously that is personal. Point is, I cannot answer it for you, nor can anyone else. Trust YOUR ears.