I've only been to Ciarans for the BYO set meal. That I'd heartedly recommend. Not sure if it'll fit your bill outside of that.
Beyond that, can only reiterate the usual suspects: 4&C, CinCin, LFM and Salt Room (which you've just mentioned).
I posted a week ago that I've been really struggling to get a w/e table at a decent hour at Burnt Orange (which we're yet to go to) even when looking 6 to 8 weeks in advance. We went to Flint House about a year ago and it was good, but nowhere near as good as those listed above, but that does remind me of Gingerman, which I rated more highly. Sorry I can't be of more help: I'm a bit out of practice due to numerous circumstances.
I'm also looking at booking somewhere for my partner's b/day, and was interested to hear you indicating that Tutto is opening early/ier. Do you know when?
Tutto bookings now open. 18th September onwards