Fanfare is a phototype revival of Lettres Modernes Italiennes (Deberny & Cie, before 1920), shown in Dan X. Solo’s Art Nouveau Display Alphabets (Dover, 1976).
Digitizations include OPTI Fanfare (Castcraft, 1990–1991), Famoose (NovelFonts, 1994), Fanfare MF Fancy (Rick W. Mueller, 1996), Sluagh Creepy (Brian Powers, 1998, very limited character set), Cabaret (James Fordyce, 1993; extended by Dieter Steffmann in 2000 with more characters and contoured and shaded variants; used for sample).
Unlike the OPTI Fonts Archive claims, Fanfare a.k.a. Flake is an unrelated design.