An otherwise unknown character uses the Dragon Balls to become a king. It is highly probable that the ramifications of this wish are still being felt to the present day, as the entire world is unified into one giant kingdom, with regional provinces dotting the globe, as shown in the King Piccolo Saga.
Oolong wishes for a pair of panties off a "hot babe" (though he just yelled the first thing that came to his mind as he was trying to stop Emperor Pilaf from making his own wish). Due to censorship issues, the English dubs changed this wish to "the world's most comfortable pair of ultra-soft underwear" (brought forth Oceanus Shenron in GT).
Mr. Popo wishes for all those slain by Frieza and his henchmen on Planet Namek to be brought back to life (brought forth Syn Shenron in GT). This is the only wish that Shenron did not know he could grant.
Bulma wishes that all the good people killed the day of the World Martial Arts Tournament to be revived. This resulted in Kibito being brought back to life along with the victims of the World Martial Arts Tournament (brought forth Naturon Shenron in GT).
All memories of the Buu massacres would be erased from the populace of Earth, save for the memories of the Z Fighters (brought forth Eis Shenron in GT).
Shenron appears, but no wish is made due to his inability to grant the one Gohan wanted. This leads to Shenron remaining summoned. At the last moment in the film right before the credits, Shenron says "Um, does anybody have any more wishes?"
As they say their goodbyes to Tapion, Goku and friends mention that they will summon the dragon again to wish all the people back to life who died during the battle against Hirudegarn (this part of the conversation is only mentioned in the Japanese Version).