New New-Phenomena Results from Dzero

We have searched for diphoton events (\ggmet) with large missing transverse momentum, $\gamma\rlap{\kern0.25em/}E_T$ events (\gmetjj) with two or more jets, and diphoton events ($\gamma\gamma$) with high transverse energies in $p\bar p$ collisions at $\sqrt{s} = 1.8$ TeV using approximately 100~pb$^{-1}$ of data collected with the D\O detector at the Fermilab Tevatron in 1992--1996. No excess of events beyond the expected backgrounds is observed. The null results are interpreted in supersymmetric models with a dominant $\tilde\chi^0_2\to\gamma\tilde\chi^0_1$ decay and in terms of Dirac pointlike monopole production.