Recently I have been searching for a decent machine vice - my previous one lifted my stock by 0.3mm on the back side which was very annoying.
After talking to @Griff who recommended one from a place in the US:
Whilst I couldn’t buy this one due to being in the UK I found a very similar one in the UK (these are Chinese imports). It just has a slightly different holding system.
It came yesterday, it’s a very solid bit of kit and has very little movement. I haven’t checked it’s precision yet but I feel it will be as expected.
I did knock up some clamps that can be used with it: