I'm afraid I'm not aware of many such maps, though you can occasionally get maps of land owned by different major families within the Holy Roman Empire within historical map books, if that's what you're looking for.^(1) It'd help to know what sort of period you're interested in, too, because the Austrian Empire - and before that, the Habsburg realms - existed for quite a long time! Different periods can present unique problems for mapping estates, since records are often quite limited earlier on. I'll briefly discuss some related issues below, to give you something to chew on mentally and perhaps some explanations as to why such maps don't (to my knowledge) exist.

As has been noted by many scholars, the Holy Roman Empire in particular had numerous examples of overlapping jurisdictions and bundles of rights, meaning that the same area could nominally be owned by multiple people.^(2) What titles a given person had didn't necessarily represent what they controlled for quite a long time! Additionally, "control" may not have meant anything especially territorial or jurisdictional. I'm not one to go so far as to say that all maps of owned estates/territories are therefore useless (though some people do think this), but it does disincline many scholars towards this sort of project. Non-scholarly mappers may have a limited acquaintance with these problems, thus producing inaccurate or misleading maps.

Additionally, lots of the estates the majority of noble families would have owned would have been really rather small, and sometimes quite far apart. This simply makes it physically difficult to map them, since maps must simultaneously be big enough to encompass estates across a large area and detailed enough to see very small plots of farmland. As stated above, it doesn't help that many of these weren't necessarily anything more than a bundle of rights to collect certain kinds of rent or dues. There's little demand for this sort of thing, therefore, because most people are happy with just listing individual rights and jurisdictions given how little more maps can tell us here. I'm afraid I can't find any such for Liechtenstein myself, though I imagine someone more specialized in it than me might be able to.

References

^(1) One example from my meagre collection would be Moore, R. I. (ed.). 1981. The Hamlyn Historical Atlas. London: The Hamlyn Publishing Group Limited.

^(2) See Whaley, Joachim. 2012. Germany and the Holy Roman Empire, two vols.. Oxford: Oxford University Press.; Hardy, Duncan. 2022. “Were There ‘Territories’ in German Lands of the Holy Roman Empire in the Fourteenth to Sixteenth Centuries?” in Mario Damen and Kim Overlaet eds., Constructing and Representing Territory in Late Medieval and Early Modern Europe, 29-52. Amsterdam: Amsterdam University Press.