My wife is 1/8 Swedish and when I know I'll have some time, I subscribe to Genline.com (http://www.genline.com
) and access what I can. Genline provides online access to Swedish church records, from the earliest records until the 1860s. There are abstracts of birth records for the latter part of the nineteenth century and this source is a wonderful boon to those with Swedish ancestry. The nice thing about Genline is that there are several options under which you can subscribe, 30 days, 60 days, a year, and they are every so often offering discounts, etc.
As time goes on, we'll be posting some of my experiences with Genline and Swedish records here. The families I am working on are for the most part from Ostergotland, particularly in and around Tjarstad. Of course, one of the last names is Johnson (Jonsson)--but then if you are Swedish and don't have Jonsson ancestors, there's a problem somewhere!