Please check description for rules & credits!
List is based on the following:
Refined mostly to protagonist ships
Refined to ships based on movies and shows (no video games)
Focuses on ships which were used in main plots
Speeds are only estimates and are by no means definitive of actual speeds
Does not include outside forces or modifications (this includes omnipotent beings, transwarp conduits etc..)
Assumes physics & distances which are the same as our own universe
Gives maximum speed possible based on assumptions and estimates
Fastest (for this video) means from Point A to Point B.

Thumbnail
http://archangel72367.deviantart.com/...

10. USS Sulaco
   • USS SULACO Micro movie  
https://cdn1.artstation.com/p/assets/...
https://en.wikipedia.org/wiki/Sulaco_...)

9. USS Prometheus
https://moonswordrendering.files.word...
http://memoryalpha.wikia.com/wiki/US...)
http://www.anycalculator.com/warpcalc...
I used this TNG calculator since it coincides with the plot of the Voyager series and it's warp speed

8. White Star
   • Whitestar Fleet   (Omega by Rhys Salcombe, Whitestar by Skywalker)
http://babylon5techmanual.yuku.com/to...

7. Battlestar Galactica
http://static.comicvine.com/uploads/o...
http://www.tecr.com/galactica/engines...
http://en.battlestarwiki.org/wiki/FTL...

6. Millenium Falcon
http://orig04.deviantart.net/175f/f/2...
https://www.amazon.com/StarWarsAwak...
http://content.pulse.ea.com/content/s...
**http://www.tor.com/2014/12/08/starwa...

5. Axiom
https://www.amazon.com/WallThreeDis...
Image Credits: NASA, ESA, and the Hubble Heritage Team (STScI/AURA), J. Emerson (ESO, VISTA), and Cambridge Astronomical Survey Unit
http://www.moviemistakes.com/film7360...

4. Thor's Chariot
http://pre15.deviantart.net/6040/th/p...
http://archangel72367.deviantart.com/
http://www.stargatesg1solutions.com...
https://forums.spacebattles.com/threa...

3. Heighliner
http://www.foundation3d.com/plugins/p...
http://pre00.deviantart.net/5cf4/th/p...

2. Heart of Gold
http://hitchhikers.wikia.com/wiki/Hea...
We all know this ship makes no sense :P

1. Tardis
http://orig07.deviantart.net/fd7a/f/2...
http://sploid.gizmodo.com/infographic...
A really cool ship which is original!

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Music:
"Dubstep" By LumenMedia