[itsme]

Sorry that it took some time.
e.k. is right, "Name für neue Sammlung/xyz...."  is better than "Neuer Name für ...".

Grammatical gender (der / die / das) in German complicates it even more. If that can be handled without problems these terms would be even smoother:
Name der neuen Setliste
Name der neuen Sammlung
Name des neuen Albums
Name des neuen Typs (Quell-Typ as literal translation of Source Type has been replaced with just "Typ" at many locations)
Name des neuen Komponisten
Name des neuen Interpreten
Name des neuen Genres
Name der neuen Tonart
Name der neuen Taktart
Name des neuen Jahrs

e.k.'s hint motivated me to also take a look at the respective "Rename" dialogs.
Improved texts are:
Name der Setliste editieren
Name der Sammlung editieren
Name des Albums editieren
Name des Typs editieren (Quell-Typ as literal translation of Source Type has been replaced with just "Typ" at many locations)
Name des Komponisten editieren
Name des Interpreten editieren
Name des Genres editieren
Name der Tonart editieren
Name der Taktart editieren
Name des Jahrs editieren

I'm not sure if "Name" should be replaced with "Bezeichnung" - what do other users think?