  Let $X$ be a smooth projective curve over a field of characteristic zero and
let $\mathcal D$ be an effective divisor on $X$. We calculate motivic classes
of various moduli stacks of parabolic vector bundles with irregular connections
on $X$ and of irregular parabolic Higgs bundles on $X$ with poles bounded by
$\mathcal D$ and with fully or partially fixed formal normal forms. Along the
way, we obtain several results about irregular connections and irregular
parabolic Higgs bundles. In particular, we give a criterion for the existence
of a connection on a higher level parabolic bundle and also develop homological
algebra for irregular connections and irregular parabolic Higgs bundles. We
also simplify our previous results in the regular case by re-writing the
formulas for motivic classes in terms of the HLV generating function.
