  Three recently suggested random matrix ensembles (RME) are linked together by
an exact mapping and plausible conjections. Since it is known that in one of
these ensembles the eigenvector statistics is multifractal, we argue that all
three ensembles belong to a new class of critical RME with multifractal
eigenfunction statistics and a universal critical spectral statitics. The
generic form of the two-level correlation function for weak and extremely
strong multifractality is suggested. Applications to the spectral statistics at
the Anderson transition and for certain systems on the border of chaos and
integrability is discussed.
