Here's the Put the Blame on Mame scene with the guitar:
The Telegraph begins its review with this: "Examples of film noir don’t come much headier or more perverse than Charles Vidor’s sultry little number". The Guardian calls it "a wonderfully perverse noir classic that comes over as a cross between Casablanca (an intentional influence) and Hitchcock's Notorious (which appeared just weeks after Gilda)." DVD Talk says, "Gilda is an established classic that should find a welcome home in the collection of any film fan."
It's in the book 1,001 Movies You Must See Before You Die. TCM has some information. Rotten Tomatoes has a critics score of 96%.