A trivial, middle-class grievance.
Gloria: "Jay bought this bicycle for me but I keep hitting my boobs with my knees"
Jay: "Champagne problems, eh?"
A problem or dilemma that, when compared to issues of poverty, national disasters and war, are not all that big of a deal, but nonetheless provide individuals with issues that must be dealt with.
Evelyn hit the Facebook friend limit of 5,000. A champagne problem for sure, but a problem nonetheless.