One of the biggest contributors to waste is the disposable coffee cup. In Australia we throw away over 3 billion takeaway cups and lids each year and they aren't commonly recyclable so they find their way to landfill. This is a really easy problem to fix if you have your own reusable coffee cup. Many coffee shops now accept reusable coffee cups and some even give you a discount for using them.
Responsible Cafes is a website that lists cafes and coffee shops seeking to make a difference. At Flora & Fauna we have reusable coffee cups from KeepCup, Cheeki and 321 Water.