Different Swedish accents can be found...
I just found this website, where you can click on a region and choose a voice to read you a story. You can read along in either 'proper' Swedish or the semi-phonetic transcription and listen to their accent.
Till exempel: this is a young man from Löderup (Skåne region) reading a story.
Here is another young man, for comparison, from all the way up in Arjeplog, Lappland.
You can choose between elder male/female or young male/female voices and compare! It also tells you a bit about the areas, and some areas even have multiple accents to try out.
Strangely enough I find that the more south in Sweden I go, the easier I understand it. Stockholm-ish (I just invented that word) sounds like a long string of sjjjjjjjjjjj and skkkkkkkk to me, so I'm trying to train my ear to it more.
I do have to add that the people telling these stories are young giggling guys who are snorting their way through the story. Try a grown man or woman, they're easier to understand!