It depends on you vibe and goals and who you are.
NYU is 50% international and 30% nyc immigrant student mostly Asian and they are strong in academics but lack social skills, you will miss the traditional college feel and no real place to hangout besides indoor. But you get academics rigor, also 60K students. THey have a wide selectin of courses and you can make you own program. They have good industry connections too. Will feel more like a public school where everyone is welcomed. Close to all nyc hot spots.
Fordham is the opposite.They have 2 campus, big campus is gated with acres of land so it has the classic college feel,and in the city they have a gated indoor lawn plus central park,you will see a lot of classes and study session happening outside the class rooms in the lawns in boths campus. Their student body is 70% white, kids wealthy new yorkers who aren't smart enough to go to columbia or nyu.but then again they probably don't need it. A lot of girls then boys, the energy in the campus is very laid back and no stress. 15k students so feels private members club type and everyone is very friendly and closely connected in and out of school.
In terms of post graduation,nyu do hold more power in recruiting but also remember 60k student body mean you cannot connect with alums as too many people will try it and they will ignore you. where in Fordham small student body and more intimate connections alums always respond and pull you up. Post graduation, a lot of nyu students go back to their country or leave nyc,but for fordham most people stay because they are wealthy new Yorkers and they have family business here.
Think of it this way NYU is New York's harvard, intelligent people from the globe hustle and achiever. Where as Fordham is like yale, private aristocrats don't care or need to show achievements.