In Addition to the writeup of loothi, here are the rules for making a dogma film:

(shortened version from http://www.dogme95.dk/)

  • Shooting on location
  • No extra sounds (only those on the location)
  • Only handcameras
  • Film must be in colour, no extra lighting
  • No optical effects or filters
  • No temporal and geographic alination
  • No genre movies
  • Film format: 35mm
  • No credits for the director

You may have observed, that most rules are no-rules. They forbid something. That is a parallel to the Ten Commandments (and they are also ten). Another resemblance is, that the rules are likely to be broken.
Here are some Dogma films:
  • Festen
  • Idioterne
  • Mifune
  • The King is Alive
  • Lovers
  • Julien Donkey-Boy
  • Fuckland
  • Interview
  • Diapason
  • Babylon
  • Vacant
  • Joyride
  • Camera

If you have made a film which fits into these rules, you can download a application form from their website and let it get a Dogma certificate.