Sweden - Swedish
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The Swedish translations have been around for 20 years now, having just released their 20th Anniversary Editions featuring the art of Olly Moss. These books are easily a fan favorite the world-over. Offering unique covers on most of their editions helps distinguish them from the myriad of other Potter translations. The Books have switched publishers in their long run from Tiden to  Rabén & Sjögren. 

1st Edition

The 1st Edition Swedish books, illustrated by Alvaro Tapia, took my breath away when I first saw them. The covers are beautiful, the bindings are nice, the shape fits well in the hand, and the internals are nice too. No doubt about it -- these are beautiful books. They're fairly easy to find currently but sell a little higher because of the demand and beauty of these books. Pre-Movie copies do exist and tend to sell a bit higher than the later prints. From my understanding, this edition is being phased out with the release of the 20th Anniversary Edition.
Difficulty - to - Find Rating: 6, Not too Common
 

Harry Potter och de Vises Sten

ISBN: 9188876659

Pre-Movie

ISBN: 9188876659

och Hemligheternas Kammare

SBN: 9789188877673

och Fången från Azkaban

ISBN: 9789129675566

1 - 3 Box Set

Early into this translation's publication, Tiden released a box set of the 1st three books. Unlike the 1st Edition books, these were issued with jackets and pictorial boards; the boards, however don't have the silver foiling from the title/author, so you just see the illustration. The spine is also black cloth. These jackets tear easily and are quite flimsy. 
I don't have the box set of these yet; I do, however, have all 3 books. Book 1 is missing its jacket, sadly.
Difficulty - to Find - Rating: 8, Hard

918887785x

ISBN: 9188877868

ISBN: 9188877876

Adult Edition

Tiden also released a set of books featuring the adult covers from the Bloomsbury books. These are tall, hardcover books featuring jackets. From my understanding they're quite scarce to come by as well.
Difficulty - to - Find Rating: 8, Hard

ISBN: 9185243264