Custap Berry -Only available by Event Pokemon holding it.
See here for the list
Durin Berry -A Hyper Rank Contest Fan
Jaboca Berry - Event Pokemon holding it. See here for the list
Micle Berry- Only Jirachi, Raikou and Shaymin as an event. See here
Rowap Berry- Exclusive to Winners in a Competition
Dream WorldGiven to players who ranked in the second 2013 International Challenge Wi-Fi tournament forBlack 2 and White 2. It took place between March 22, 2013 - March 25, 2013.
Also available via Event Pokemon