Why there are no Schottky diode bridge rectifiers?

[james_s]

I suspect it's because most of the applications for bridge rectifiers are things where the characteristics of Schottkey diodes are not really needed. Typically they are used to rectify either line voltage or the secondary voltage of a 50/60Hz power transformer. The latter application is rapidly vanishing as linear power supplies go away and when they were in more widespread use nobody cared about such small gains in efficiency and in the former case you have plenty of voltage available and the current is usually relatively low. Since it's possible to make a Schottkey rectifier yourself fairly easy out of a pair of dual diodes, there simply isn't a large market for a full bridge type.