Beautiful Day Without You (Rex The Dog Remix) Starts electric, laidback feel with lots of strange 'futuristic' sounds, very different from the original. Changes instruments very often, which makes it kind of eclectic to my opinion, i'm not very enthousiast about this one, though it might have to grow on me.
Beautiful Day Without You (Cass And Mangan Mix) Sounds a bit like Romantikske Sloyd, I like it how they made Beautiful Face instead of Beautiful day. It's kind of a disco mix of Beautiful day without you, Lots of bleeps again - sounds like a commodore 64. Definately a re-mix.
Beautiful Day Without You (Wighnomy And Robag Whruhmes Spekkfakkel Remikks) This one is very very chill, like you'd expect the röyksopp guys themselves to do it. A track suitable for Cafe Del Mar, Sounds nice.
None of the remixes topped the original. The spring-ish feeling of the original is untouchable, and none of the mixes uses the bridge 'when, i'm alone..' or the great chord changes that are in the original. The Wighnomy mix is the best out of 3, but still not great, with a maximum of 3 stars out of 5.