There are some players who roleplay less and some who roleplay more and it also depends on the realm. I for instance RP quite a bit with my character on EC and Oligarch has quite some RP, but I don't RP as much with my other chars due to time constraints and I know some realms have more RP than others.
I think the war Islands Ikalak has quite some RP, but a very specific kind.
On East Continent I know both Greater Xavax and First Oligarch have quite some RP, don't know about the others though.
Dwilight the last time I left Luria Nova didn't have a lot of RP, Astrum has some but not that much and I don't really know about the other realms. I know in the old days D'hara was known for quite some RP, don't know if that's still the case.
On Beluaterra the daimon serving realms have quite a bit of RP which is generally shared throughout their guild. During my time in Nothoi I didn't see as much RP in the 'human' realm(s) though.
Colonies is generally the more slow paced continent and I don't know much about it concerning RP.