A complete sample of 27 radio galaxies was selected from the B2 and 3CR cat
alogs in order to study their properties on the milliarcsecond scale. In th
e Appendix of this paper we present new radio images for 12 of them. Thanks
to the present data, all the sources in this sample have been imaged at mi
lliarcsecond resolution. We discuss the general results. In particular we s
tress the evidence for high-velocity jets in low-power radio galaxies, comp
are high- and low-power sources, and discuss the source properties in light
of the unified scheme models. We conclude that the properties of parsec-sc
ale jets are similar in sources with different total radio power and kilopa
rsec-scale morphology. From the core-total radio power correlation, we esti
mate that relativistic jets with Lorentz factor gamma in the range 3-10 are
present in high- and low-power radio sources. We discuss also the possible
existence of a two-velocity structure (fast spine and lower velocity exter
nal shear layer).