Update:
I have purchased one of two LC-511 variants, so I am now looking only for the type with sides of anode cage consisting of eight straight pieces of metal, rather than four quartercylinders.
I have also purchased a set of LC-631 tubes with getters. They costed an arm and a leg, but at least they are in my possession :)

I also managed to find two interesting variants of LC-516. First one looks like an early tube meant to be closer in dimensions to IN-1, as the glass dome is 30 mm in diameter, rather than what is found in later tubes (just an LC-513 thrown into the plastic base). The style of interior construction - with shiny sides of the anodes, and stripes of cathode metal extending down to pins rather than spot welded pieces of wire - suggest it's an early variant made before DOLAM has settled on one style. The size of the internal structure is rather bizarre - it is taller than in all front view Polish nixies I own, so it had to be made in separate process, but the diameter of it is the same - so the extra room in the glass is unused.
And finally, I have found a factory defect of little consequence, LC-516 with two anode grids inserted into the stack.
I am looking for such unusual variants, factory defects and tubes which are remarkable for any reason, so if you think you have some tube non standard in any way, do not hestitate contacting me, please.