For the type of society places have, I'd imagine the Delurans and Miratans to throw a bigger party than the Negavians when New Years comes (then again, I'd also imagine they have a different New Years date than Negavians, so it'd seem to them like they're the only ones celebrating the New Year).
Many Giant Predators probably wouldn't notice, since you kinda need a concept of "years" and "calendar" to throw a party for New Years (most non-civilized Giant Predators would probably celebrate New Years either by a pattern noticed in general Prey species at the time, or just throwing a general party at the end of one season instead of going on a specific date, unless they're dragged into a Fairy New Year or the like).
Negav? I wouldn't imagine crowds on the street, but perhaps end of the year feasts, ceremonies, possibly being a time of Gift Exchange provided they don't go through Christmas ("Since you made it to the end of the year, congratulations! I got a gift for you!"), etcetera.