Ferencváros began their march in the UEFA Cup Winners' Cup in the new Üllői Road stadium, inaugurated on the occasion of the club's 75th birthday, and the momentum continued until 14 May 1975, when Dinamo Kyiv defeated Ferencváros in the final of the international cup. In 1976, along with another Hungarian Cup title, the young Ferencváros team also claimed a surprise 22nd league title. Another Hungarian Cup victory followed in 1978, and in the same year, the team played its first match under the lights on Üllői Road.

In 1981, after five years, Fradi celebrated the championship title again. Tibor Nyilasi, the team's prominent player, scored 30 goals in the season and was awarded the European Silver Boot for the second-highest scorer in Europe. There followed years of less success. The best result in the league was a second-place finish, and with a thirteenth-place finish in the 1984/1985 season, the team had their worst-ever season in the Hungarian League.

 Tibor Nyilasi, the most successful player of the era, made his debut as the head coach of Fradi in 1990 after his retirement in 1988. At the end of his first season, the team won the silver medal in the championship and won the Hungarian Cup, while the following year Ferencváros were champions again after eleven years. The 1992/1993 and 1993/1994 seasons also brought Hungarian Cup victories, and this was crowned with the Hungarian Super Cup in 1993.

In the mid-nineties, with former legendary footballer Dezső Novák on the bench, Ferencváros won everything in the Hungarian competition. In addition to the league title, the Hungarian Cup and the Super Cup, in 1995 Fradi became the first Hungarian team to qualify for the Champions League round of 16. They were grouped with two of the super teams of the era, the undefeated Dutch champions Ajax, the Spanish champions Real Madrid and the Swiss champions Grasshoppers. Fradi finished third in the group with 5 points.

In the following season (1995/1996), Ferencváros defended their title, but this time they failed to qualify for the Champions League, losing to Gothenburg in Sweden. In the UEFA Cup, Ferencváros started under József Mucha and Zoltán Varga but were eliminated by Newcastle United despite winning at home.

1975-2000

One of the most valuable items from this era is Péter Lipcsei's jersey and football boots from the 1990s.

Péter Lipcsei is a true legend of our club, having played the most matches for Fradi, totalling 649. He won the championship four times, the Hungarian Cup six times, and lifted the Hungarian Super Cup four times.

As our museum has limited space, we make the most of every area to present our collection. We have two pull-out display cases from this era, containing items related to Ferencváros's first Champions League participation.

In the first display case is Zoran Kuntic's jersey, we defeated RSC Anderlecht 1-0 with his goal in Brussels, allowing for a 1-1 draw in the home return match, thereby making FTC the first Hungarian team to reach the Champions League group stage. The other jersey belongs to the only Hungarian Ballon d'Or winner Flórián Albert’s son. Young Flórián Albert wore this jersey during the match on November 1, 1995, at Üllői Road, which ended in a 1-1 draw against Real Madrid. In fact, we led until the end of the match with his goal, but ultimately, the Spaniards equalized with Raúl's goal. After the rainy match, Flórián Albert immediately handed the jersey to Béla Nagy, who was the museum director at the time, and we have preserved it in its dirty condition for posterity.

In the next two display cases, we commemorate our 1995 Champions League run with various relics.