A particular isotope of Helium when solidifies at temperature very close to 0 K is found to have super fluidity as found in liquids. This type of solids are called super solids. This experimental observation is published in " Nature" in Jan. 2004.

I think that ''superglass''  may be obsereved on experiment for diblock-copolymer systems with ''memory'' (see, K. Binder, S. Puri et al.

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I think the results on supersolid Helium have been reconsidered since it was found that single crystal samples lost the effect suggesting that it was a superfluid effect flowing in grain boundaries. This is another thought on this http://phys.org/news/2012-10-supersolid-helium.html