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Charlie Brown's pet beagle in the comic strip Peanuts, by Charles M. Schulz; often representing doggish soulfulness. quotations examples
Some dogs will be back porch familiars — beagles with soulful, Snoopy eyes: Dalmatians with spots; bassets with mitten ears; Siberian huskies with wolfish voices; Collies that look just like Lassie.
1978 January 20, “A Day For Dogs And Dog Lovers”, in Milwaukee Journal
My daughter calls these "Snoopy eyes" after the childlike presentation of the beagle in Schulz's cartoon Peanuts.
2005, Russell Dale Guthrie, The nature of Paleolithic art, page 93
Mary Mann, another sophomore, sits on the roof of a red dog house, giving her most enigmatic Snoopy look.
2006 April 14, “Good Grief! A Student Musical.”, in The Virginian Pilot
Being excessive or overzealous only gives the patient a surprised “Snoopy” look.
2009, Douglas Hamilton with Babak Azizzadeh, Beverly Hills Beauty Secrets, page 161