Preliminary results of searches for Higgs bosons predicted by extensions of the SM are presented. The results are based on the OPAL data collected in 2000 at $\sqrt(s)=$200--209 GeV corresponding to integrated luminosities of about 210 pb$^{-1}$. Searches are performed for the MSSM processes $\rm e^+e^-\rightarrow hZ$ and $\rm e^+e^-\rightarrow hA$. The analyses are sensitive to Higgs decays into $\rm b\bar{b}$ or $\tau^+\tau^-$. A lower limit on the $\rm H^+$ mass of 72.2 GeV is obtained assuming $\rm Br(H^+\rightarrow\tau\nu)+Br(H^+\rightarrow q\bar{q})=1$. In addition, we search for W*-mediated decays of $\rm H^+$ to $Af\bar{f}$, which can be the dominant decay mode in two Higgs doublet models of type I. Searches are also conducted for the hZ process in which the h decays hadronically with no requirement on the flavour of the decays. A limit on mh is set at 101.8 GeV for a hadronically decaying Higgs boson. We also search for the decays of Higgs bosons to invisible particles and to photons $\rm (h\rightarrow\gamma\gamma)$, assuming the SM Higgs-strahlung production cross-section.