A critical temperature of 30K is the theoretical limit of the BCS theory of superconductors. However, some materials have been found to have Tc as high as ~130K (with one claimed as high as 164K). These materials cannot be explained by BCS theory although paired electrons may still be involved in at least some of these cases.
High temperature superconductors is currently one major problem within theoretical physics that remains unsolved (for now) and theory surrounding them is an active area of research.
http://adsabs.harvard.edu/abs/1993Natur.365..323C
http://prb.aps.org/abstract/PRB/v50/i6/p4260_1
http://hyperphysics.phy-astr.gsu.edu/hbase/solids/hitc.html#c1
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