In the 2005 race, he positioned himself more as a centrist Democrat, a la Ed Koch. But for 2013, the move left isn't much of an option for Weiner as his likely rivals in the Democratic primary carve out their respective constituencies. City Council Speaker Christine Quinn - who opposed the Kingsbridge Armory development plan and paid-sick day - is angling herself as a business-friendly Democrat. She'll also likely to be the first major mayoral candidate here who is openly gay (and could be the only woman in the race, which could do a lot to attract Democratic primary voters).
Bill de Blasio, the public advocate who helped found the Working Families Party, is likely to get a lion's share of organized labor backing.
Shortly after Mayor Bloomberg said he favored rolling back term-limits, former City Comptroller and 2009 mayoral candidate Bill Thompson popped up on NY1 and in news stories, reminding people he fought the mayor on this issue (and nearly won!).
Manhattan Borough President Scott Stringer has backed a number of progressive Democrats for office, and ingrained himself in the daily lives of New Yorkers on substantive (non-partisan issues) issues like like food access and bike lane safety.
John Liu, the current city comptroller (and top vote getter in 2009!), would be the first Asian-American mayoral candidate. He's already the first Asian-American elected citywide here. While helped by organized labor and the WFP, his campaign aides were quick to note that he formed his own multi-racial coalition which, unlike the WFP, had no legal clouds hovering overheard.