All denominations, as far as I'm aware, agree that John 19 places the crucifixion on Nisan 14. John 19:14 is clear that this was "the day of Preparation for the Passover," that is, the day the sacrificial lambs were slain before the Passover feast officially began (see Exodus 12:5-6). Since Passover begins on Nisan 15, Preparation Day is the 14th.
The Quartodecimian controversy was whether Christians should celebrate essentially a "Christian Passover" on the 14th every year, or whether they should celebrate the resurrection day, the first day of the new week following the Passover.
The practice of celebrating Easter Sunday was soon adopted by the majority of Christians, though some churches continued the Quartodecimian practice for centuries.
Today many churches celebrate a Passover or Seder meal on Thursday evening before Good Friday, but as far as I'm aware only the Jehovah's Witnesses celebrate as the Quartodecimians did, with a meal on the 14th and no special celebration on the following Sunday.