I agree with Amy that nicknames usually suit the girl and have been with her for a while. Nonetheless, here are some we have on our team.
meat (when i say Hillshire, you say Farm, Hillshire Farm - GO MEAT) killer pitcher here...
sumo
thunder
big country
juice
terminator (gave a "stank eye" like you would not believe!)
slim
Sometimes the nicknames can be very team specific.
DD 3 had the same coaches 3 times in a row in rec ball. DD 3's name starts with 'P', and sometimes other players just call her 'P'. At one point, on the second time they were together, the coach's daughter started calling DD 3 "Pumpkin", while DD 3 started calling the coach's DD "Eggplant". That lasted through the third team they were on, and sometimes when they would play each other in rec league or TB after that. The nicknames didn't catch on, though. Nobody else calls her "Pumpkin". She's fine with 'P'.
Her sisters have more colorful nicknames for her, based on her Chinese nickname. Everyone in the family calls her MoiMoi, which, in the TaiSan dialect of Chinese, means "little sister". DW gave her the nickname M2, which her sisters turned into more colorful names. DD 3 insists I call her MoiMoi at home and her given name in public, and gets a bit peeved when I call her by the wrong name in the wrong context.