The "Magical Magyars" were one of the best sides in the world in the 1950s, but not since 1986 have Hungary even been to a big tournament, with decrepit infrastructure, corruption and hooliganism overshadowing the game in the country.
Now, with terrier-like redhead Laszlo Kleinheisler, nicknamed the Hungarian Paul Scholes, in midfield and a rock-solid defence, they could prove a handful in Group F for Austria, Iceland and Portugal.
For goals, though, the side might turn out to be over-reliant on the free-kicks of Dzsudzsak and bulky centre-forward Adam Szalai, who is based in the German Bundesliga.
"I'm not a top model, my job is defending," Kiraly, set to be the competition's oldest player since Germany's Lothar Matthaus appeared at Euro 2000 aged 39, told AFP in a recent interview.
Kiraly is back playing in his home country after a long career spent in England and Germany, notably with Crystal Palace, Hertha Berlin and 1860 Munich.
Hungary begin their campaign against Austria in Bordeaux on June 14.
Hungary 23-man squad:
Goalkeepers: Gabor Kiraly (Szombathelyi Haladas), Denes Dibusz (Ferencvaros), Peter Gulasci (RB Leipzig/GER)
Defenders: Attila Fiola (FC Akademia), Barnabas Bese (MTK Budapest), Richard Guzmics (Wisla Krakow/POL), Roland Juhasz (Videoton FC), Adam Lang (Videoton FC), Tamas Kadar (Lech Poznan/POL), Mihaly Korhut (Debreceni VSC)
Midfielders: Akos Elek (Diyosgyori VTK), Adam Pinter (Ferencvaros), Zoltan Gera (Ferencvaros), Lazlo Kleinheisler (Werder Bremen/GER), Gergo Lovrencsics (Lech Poznan/POL), Zoltan Stieber (FC Nuremberg/GER)
Forwards: Balazs Dzsudzsak (Bursaspor/TUR), Adam Szalai (Hannover 96/GER on loan from Hoffenheim/GER), Krisztian Nemeth (Al-Gharafa/QAT), Nemanja Nikolic (Legia Warsaw/POL), Tamas Priskin (Slovan Bratislava/SVK), Daniel Bode (Ferencvaros)