Attention: I have an answer and will publish it soon. But perhaps other have a different (or the same) solution, so I'm giving you the chance to show it first.
How to output a bibliography with biblatex/biber more than once but with different sorting schemes?
The example where one should get the sorting implied from the titles:
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[sorting=none]{biblatex}
\addbibresource{biblatex-examples.bib}
\begin{document}
\cite{herrmann}\cite{shore}\cite{aksin}
\printbibliography[title=Unsorted]
\printbibliography[title=Alphabetic]
\printbibliography[title=By year]
\end{document}
(The question was triggered by a speak about nmbib at tug2015).
