This video of a baby getting drunk and trashing a bar is actually the trailer for a 14 minute short film called Las Palmas, directed by Johannes Nyholms and starring his one-year-old daughter! It’s pretty damn funny, but to me, the ultimate drunken baby video is definitely The Landlord, a short starring Will Ferrell.
http://www.youtube.com/watch?v=D_TAk-aaxzA