Manchester City font here refers to the font used on the badge of Manchester City Football Club, which is an English Premier League football club based in Manchester.
The font used for the “M.C.F.C” is probably Palatino Bold designed by Hermann Zapf in 1950 for the Stempel foundry. And for the motto on the bottom of the badge Superbia in Proelio, which translates as Pride in Battle in Latin, it is probably set in Monotype Script designed by Fritz Stelzer in 1931. Both are available as commercial typefaces and you can view more details about them here and here respectively.
Download Manchester City 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.