Recently starting using Bitbucket and I really like it. I find the team thing a bit difficult to understand and not very intuitive but it could be just me. I vaguely remember them also having SVN support but that seems to be no longer there. I guess I have re-import all my old repos using Git now.
As far as I can remember, they started with providing Mercurial support, not SVN. Perhaps you were thinking of Google Code (they had SVN support, then Hg, then Git)?