In this talk, I will first introduce some new results on the modules of continfity of operator-scaling Gaussian fields with stationary increments.Then I will show that a kind of pseudo-Brownian sheets can arise naturally from the fluctuation limits of a generalized branching particle systems and that the path continuity of the pseudoBrownian sheets is similar to that of Brownian sheets.At last, some new fluctuation limits of a kind of site-dependent branching systems will be reported.