B&W 703 or VR4 jr?

Owning both B&W and VSA products, I'm kind of surprised you're comparing these two speakers because:
1) The VR4jr is $1K more, which is a considerable amount
2) They sound very different IMO

If you like the B&W sound, I think you'd be better off with the N804 as a more direct competitor to the VSA. I recently listened to the 700 range and to my ears they appeared to be voiced more towards the 600 line than the Nauts. The dealer mentioned the problem with the CDM line (which the 700's supplanted) was they were too close to the N800's and would often cannibalize sales. It made better business sense to introduce more of sonic difference. Bottom line, the Nauts are much more refined, transparent, and neutral sounding.

VSA speakers tend to be a richer, fuller sounding speaker than B&W's and have considerably more low end, imo. If the B&W's are Roger Moore, the VSA's are Sean Connery. This is aided in no small part by the VSA dropping to 23hz whereas the N804 falls off at 38hz. Another thing to consider between the two speakers is the VSA's might be more tempermental about placement because of the driver on the back. If you have WAF considerations or space limitations, this could factor heavily into your decision.

I hope this helps and buy what sounds best to you.

I just bought the VR4JR and had looked hard at the B&W 703 and 804. The VS's are really great speakers and to me sounded much better sounding all around. If you get a chance check them out.

I've owned the 703's for 6 months and I am very pleased with them after a good long break in period and careful cable selection. I am not familiar with the VR4jrs.
I auditioned Dyneaudio, B&W N805's, and I am very familiar with N804's. I eliminated the Dyneaudio speakers in favor of a more forward presentation and analytical, or what i would describe as a 'clear' sound. I feel the 703's have better bass extension than the N804's and treble is extended too, though possibly not quite as smooth as the Nautilus. Pairing with Tara Labs cables tamed the 703's tweeters a bit without rolling off the top end or being as laid back as the N804's.