This just came to mind, in honor of the Passover holiday. As the Paschal sacrifice was/is an individual rather than communal sacrifice, it doesn't rely on having an intact temple or valid religious authority and certainly not a Messiah. Three types of issues prevent it from being done today.
First are the religious ones as the exact nature of things now is not what they were then, but they are of a kind that are well within the limits of what precedent would call solved. The analogy between the past and present does not break down in a meaningful way as it does for other sacrifices and rituals.
Second are the tradition-based ones. Just as the Religious Zionists go to the sources with the bottom line of "go along with what the non-Orthodox Jews are doing" already written in pencil (not ink), Chareidim have the bottom line of "change nothing". For example, weather and calendar century are not considered good enough reasons to change one's manner of dress from one's parent.
As the Chareidim consider Religious Zionists blasphemous idol worshipers for writing their bottom line before reflecting on the will of the LORD, so too may Religious Zionists consider Chareidim derelict for deciding not to change their bottom line of continuing to not bring the Paschal offering.
(Look for this type of issue to come up again [in snide remarks over kiddush] in the fall between Chabad and the rest of the Orthodox world as Chabad has developed the tradition of not sleeping in Succot booths, since the law clearly exempts one from doing so when it is cold and it was cold that time of year all the time in Russia. Now their custom is to never sleep there, and they do not, regardless of local weather.)
It would be a change for Chareidim to conclude it was important to fulfill this commandment, and they do not so conclude, or lobby for the right to do so.
That brings us around to the third reason, that Israel forbids it. The secular state annually blocks Religious Zionists from offering the sacrifice with legal action, physical police presence, and arrests.
I was browsing my RSS feed, as one does, and came across a New York Times article, "A Village With the Numbers, Not the Image, of the Poorest Place", about the Satmar Hasidic Jews of Kiryas Joel (NY).
Their interest lies in their extraordinarily high birthrate & population growth, and their poverty - which are connected. From the article:
From Wikipedia:
Robin Hanson has argued that uploaded/emulated minds will establish a new Malthusian/Darwinian equilibrium in "IF UPLOADS COME FIRST: The crack of a future dawn" - an equilibrium in comparison to which our own economy will look like a delusive dreamtime of impossibly unfit and libertine behavior. The demographic transition will not last forever. But despite our own distaste for countless lives living at near-subsistence rather than our own extreme per-capita wealth (see the Repugnant Conclusion), those many lives will be happy ones (even amidst disaster).
So. Are the inhabitants of Kiryas Joel unhappy?