Adrien

This form of Adrian ranks in the top 100 in Slovakia, Hungary, and Catalonia (Spain).

Adrián

Ambrus

Anci

English speaking countries may only associate this with the fifth-century Hun, but the name is still well-used in contemporary Hungary, Azerbaijan, and Turkey.
 
Usually said to derive from the Gothic word atta meaning "father", other sources suggest Attila might also have Turkic etymology. Theories include that it comes from the Turkic elements as and til meaning "the oceanic ruler"; that it derives from the word atli meaning "cavalry" or " horseman"; or, that it is borrowed from an old name for the Volga River in Russia, once known as Atil or Itil.
 
Other name sakes include tennis player Attila Balázs, ice dancer Attila Elek, and the metal band Attila.

Attila

Adorján

Adrienn

Agáta

Alíz

Ambrózia

Anasztázia

Atilla

Bence has been the most popular boy name in Hungary for over a decade — it’s held the top spot since 2003, the year Hungary began releasing its baby name data. Bence is the Hungarian translation of Vincent and is also occasionally used as a nickname for Benedek.
 
Bence could fare well outside of its native Hungary, if given the chance. We like it as an alternative to Benjamin or Ben.

Bence

Benedek

Bertalan

Borbála

Balázs

Bartolómeó

Bálint

Dorottya

Dénes

Dóra

Ember

Erneszt

Ernesztina

An old-school great-grandpa name, like Irving and Ernest, that may just be ready for revival. It's also a well-known name in Hungary and elsewhere in central and eastern Europe. As a surname, it's associated with jazz sax player Booker Ervin.

Ervin

Emília

Ernő

Ferenc is well used in Hungary, where it has the intriguing nickname Ferko, it has been associated with the playwright Molnar.

Ferenc

Ferke

Florka

Frici

Frigyes

Flóra

Fülöp

Gazsi

Gáspár

József

Vince is not a short form that often stands alone on the birth certificate, the way Jack or even Joe does, but it has certain credibility as the name always used for football great Vince Lombardi.  And as a diminutive for Vincent, it's a far sight better than Vinnie or Vinny or even Vin.

Vince

Ágnes

Ágoston

Ágota

Álmos

Árpád

Ilsarana's list "Hungarian names" of 44 great name ideas: Adrien - Árpád!

Hungarian names

A list of names that have hungarian roots, or just simply the version of a name as how it is used there mainly

THE LIST IS IN PROGRESS