SPSS, Stata and SAS can all conduct multivariate multiple regressions (i.e. more than 2 continuous predictors and more than 2 outcomes) as GLM. Consequently, the multivariate tests answers the question "which of the predictors (if any) is significantly related to at least one of the outcomes?". Because one has to refer to the univariate tables anyway to determine the direction of this effect (while controlling for multiple comparisons), I ask the question what is the added benefit of conducting the multivariate tests in the first place?
Thank you!