Venetian could mean

Of Venice.
Of the Republic of Venice.
Rarely, of the Veneto region of Italy; more properly Veneti.
The Venetian language.
The Venetian, a hotel and casino in Las Vegas, Nevada.
A venetian blind, a horizontally slatted window blind.
The Venetian style of typeface design, most prevalent in the 16th and 17th centuries.
A type of pastry, made with almond extract, apricot preserves, and chocolate, usually tricolored and said to resemble Venetian glass. Also called a "rainbow cookie".
Venetian Snares, the performing name of Canadian breakcore/IDM musician Aaron Funk.
The Venetians, an Australian pop music band of the mid 1980s.