The Five-Year Engagement font here refers to the font used in the poster of The Five-Year Engagement, which is a 2012 romantic comedy movie that centers on a couple whose relationship becomes strained when their engagement is continually extended.
The movie title was designed using two fonts. The “Five-year” part seems to be Futura Bold designed by Paul Renner and the “Engagement” is probably set in ITC Edwardian Script designed by Edwardian Benguiat. Both are available as commercial fonts and you can view details about them here and here respectively.
Download The Five-Year Engagement Font
We are currently unable to find a free alternative or a font similar to the commercial font identified above, and you will need to follow the relevant links above and purchase the font.