I don't know how I missed this, but Ancestry is buying the indispensable Swedish research site Genline.com for $6.7 million.
At present to use Genline, you have to know the town and parish to use these birth, marriage, death, and moving out parish records effectively. Ancestry's not saying how they'll roll out access, but I have to hope they'll put a couple of armies of indexers on these records.
There's also access to parish and other records directly through SVAR Riksarkivet på webben, a pay-for-access portal for digitized records from the Swedish Department of the National Archives.
I was told at the Family History Library in SLC that Genline was digitizing the parish records from microfilm the church created some time ago. SVAR was digitizing directly from the records themselves. I do know that sometimes SVAR had records that Genline did not and vice versa, so it still pays to check both places.