Green’s Dictionary of Slang

handsome harry n.

also handsome dan, ...hank

a womanizer, esp. one whose seductive ‘line’ cannot be trusted.

[US]W. Irwin Love Sonnets of a Hoodlum XII n.p.: She could flag some Handsome Hank and slope.
[US]H.C. Witwer Yes Man’s Land 93: I can get a million Handsome Harrys.
[UK]Partridge DSUE (8th edn) 526: [...] since ca. 1930.
theavengers.tv 🌐 Steed has the formidable task of convincing Cathy that her ‘Handsome Harry’ has murdered the father of her girlfriend’s fiancée [sic] to fulfill his plans.
[US](con. 1963) L. Berney November Road 86: A handsome Dan, sharp dresser, dark hair and light eyes.