Borough President Oddo championed the Staten Island Bus Study which has recommended major service changes to Staten Island express buses. As a result of the study, express bus service to Staten Island was to be completely reorganized in August 2018. As part of the redesign, all of the existing bus routes would be discontinued and replaced with 21 new routes with a "SIM" prefix.
Councilman Oddo received attention when a video of the councilman appeared on YouTube around October 5, 2007. In the video clip, Oddo is shown being interviewed by a film crew from the Norwegian comedy show Rikets røst, a show similar to The Colbert Report. The comedians had gained entry to councilman Oddo's office by posing as TV journalists who wanted to get the view of a Republican on the upcoming U.S. presidential election. Instead, the interviewer, Pia Haraldsen, played the role of an uninformed foreigner. She asked how Barack Obama could run for president, "as he is not a U.S. citizen" and asked if Senator Clinton could be president "after that embarrassing incident with the cigar?" On the aired clip, Haraldsen cannot refrain from smiling as Oddo starts swearing at and threatening the film crew. One of the film crew's cameras continues recording the incident, as Oddo, in a profanity-laced tirade, furiously tells them to get "the fuck" out of his office and threatens to physically harm the film crew. Oddo later apologized, stating the tirade was "inappropriate" but that the sentiment beneath it was entirely appropriate, despite threatening physical harm to the film crew.
In 2008, Oddo supported Congressman Vito Fossella, stating that he "knows what core is about" and "He is my friend... and I stand with him during the good times and I stand with him during the difficult times. What he needs to do is what he did today: Say, 'I'm ready to be held accountable and apologize and I have to heal myself, heal my relationship with my friends and family, and heal my relationship with my community.'" Fossella had been arrested for driving under the influence, was living with one woman while being married to another woman, and had fathered a child with the other woman.
Oddo was widely believed to be running for surrogate court judge in 2018 despite running for election as Borough President in 2017. When asked about a potential surrogate court judge candidacy, Oddo stated that he honestly did not know if he would serve a full second term; this statement led critics and his main opponent in the 2017 Borough President election, Tom Shcherbenko, to argue that he should not run for Borough President if he already had one foot out the door. Oddo was re-elected Borough President in 2017. Oddo ultimately chose not to run for Surrogate Court Judge.
Views towards Muslims
In 2010, when developers planned to build a Muslim community center and mosque in Lower Manhattan, Oddo said he understood the outrage of families opposed to building a Muslim place of worship within a mile of the World Trade Center. Later that year, when a Catholic church planned to sell a convent to a group intending to use the building for a mosque, Oddo said that he would oppose the plan until the "responsible leadership of the Muslim community wholeheartedly, full-throatedly condemns the extremists of their religion." In 2005, Oddo said that police officers conducting random security searches on the New York subway system was not enough. Instead, he wanted police officers to prioritize the searching of young Muslim men.