  Using the off-shell formulation for N-extended conformal supergravity in
three dimensions, which has recently been presented in arXiv:1305.3132, we
construct superspace actions for conformal supergravity theories with N<6. For
each of the cases considered, we work out the complete component action as well
as the gauge transformation laws of the fields belonging to the Weyl
supermultiplet. The N=1 and N=2 component actions derived coincide with those
proposed by van Nieuwenhuizen and Rocek in the mid-1980s. The off-shell N=3,
N=4 and N=5 supergravity actions are new results. Upon elimination of the
auxiliary fields, these actions reduce to those constructed by Lindstrom and
Rocek in 1989 (and also by Gates and Nishino in 1993).
