  We exhibit a canonical, finite dimensional solution family to certain
singular SPDEs of the form \begin{equation} \left(\partial_t- \sum_{i,j=1}^d
a_{i,j}(x,t) \partial_i \partial_j - \sum_{i=1}^d b_i(x,t) \partial_i -
c(x,t)\right) u = F(u, \partial u, \xi) \ , \end{equation} where $a_{i,j}, b_i,
c: \mathbb{T}^d\times \mathbb{R} \to \mathbb{R}$ and $A=\{a_{i,j}\}_{i,j=1}^d$
is uniformly elliptic. More specifically, we solve the non-translation
invariant g-PAM, $\phi^4_2$, $\phi^4_3$ and KPZ-equation and show that the
diverging renormalisation-functions are local functions of $A$. We also
establish a continuity result of the solution map with respect to the
differential operator for these equations.
  Lastly, we observe that for more singular equations the required
renormalisation functions may depend on whether the terms involving $b$, $c$
are interpreted as part of the left or right hand side of the equation.
