I'm fascinated by the idea of taking an album and improving it by changing the track order, removing dud tracks and adding other songs (B sides, bonus out takes or songs from totally different albums if they fit).

Stylus Magazine have a whole set of articles about this called Playing God (http://www.stylusmagazine.com/archive.php?type=7&year=2005). Nine Inch Nails' "The Fragile" and Smashing Pumpkins' "Mellon Collie" get trimmed from two CDs to one. Radiohead's "Pablo Honey" and REM's "Up" get overhauled etc.

Does anyone here have any rearranged albums that they would like to share?

Someone else here called Lucas Hare posted this reworking of Bob Dylan's "Blood On The Tracks":

1. Tangled Up In Blue - from The Bootleg Series 1-3
2. Simple Twist Of Fate - from Blood On The Tracks
3. You're A Big Girl Now - from Biograph
4. Idiot Wind - from The Bootleg Series 1-3
5. You're Gonna Make Me Lonesome When You Go - from Blood On The Tracks
6. Meet Me In The Morning - from Blood On The Tracks
7. Lily, Rosemary And The Jack Of Hearts - version above [he's referring to a video that went along with his original post]; the only one not commercially available
8. If You See Her, Say Hello - from The Bootleg Series 1-3
9. Shelter From The Storm - from Blood On The Tracks
10. Buckets Of Rain - from Blood On The Tracks

I personally have not rearranged any albums in a particularly noteworthy way.

If failing that then do you have any single artist Best Ofs that your particularly happy with?

I've got a good Bruce Springsteen and Nick Cave Best Of that I'm very happy with:

Springsteen Best Of, all but two songs taken from "The Essential Bruce Springsteen":

Born To Run
Badlands
Darkness On The Edge Of Town
The Promised Land
Stolen Car (not "The River" version, but instead the version from the "Tracks" 4CD box set)
Hungry Heart
Nebraska
Atlantic City
Born In The U.S.A
Glory Days
Dancing In The Dark
Tunnel Of Love
Janey Don't You Lose Heart (from the "Tracks" 4CD box set)
Lucky Town
The Rising
American Skin (41 Shots) (Live)

My Nick Cave Best Of has no slow ballads, instead I've made it into a HEAVY ROCK album:

Do You Love Me? (from The Best Of 1998)
Abattoir Blues (from Abattoir Blues)
Deanna (from The Best Of 1998)
Red Right Hand (from The Best Of 1998)
There She Goes, My Beautiful World (from Abattoir Blues)
Scum (from B-Sides & Rarities)
Mercy Seat (from The Best Of 1998)
Get Ready For Love (from Abattoir Blues)
Supernaturally (from The Lyre of Orpheus)
Hiding All the Way (from Abattoir Blues)
Tupelo (from The Best Of 1998)
O'Malley's Bar Part 1 (from B-Sides & Rarities)
O'Malley's Bar Part 2 (from B-Sides & Rarities)
O'Malley's Bar Part 3 (from B-Sides & Rarities)
Jack the Ripper (Acoustic) (from B-Sides & Rarities)
O'Malley's Bar Reprise (from B-Sides & Rarities)

I have also created a Pink Floyd Best Of that covers the pointless noodling stage of their career between 1968-1972, which can be seen at http://www.wordmagazine.co.uk/content/pink-floyd-best-1968-1972.