Robbie Turner -- one of the main characters from Ian McEwan's novel "Atonement" -- bears this name. "Atonement" was also made into a 2007 film by Focus Features, directed by Joe Wright, and starring James McAvoy as Robbie.
The character Robbie Rotten is the antagonist of the Icelandic children's television program "Lazy Town". He is portrayed by Stefán Karl Stefánsson. Robbie Rotten's main goal is to maintain quietness in the town by means of 'spreading' laziness around. Ironically -- because of all the trouble he goes through to achieve this (by means of scheming, magic of disguise, music/dance, moving around, and general mischief -- he is the most active and least lazy character in the series.
It beats Bobby, but it's not the greatest nickname out there. It's quite boyish, and it might be better to go by Rob after hitting 30. For women and girls, this is way too masculine. It would only sound okay on tomboys and masculine women, and even then, only on the ones who haven't turned 30.