Does the size of a wine glass affect how much sound is needed to break it?

Sometimes it can do. But most of the time is shouldn't really affect it. If it does, It will affect it slightly. If the glass contains liquid it will most certainly make a big difference, as the liquid will absorb resonance, such as vibrations (pressure waves).

If a glass exhibits resonance (a clear tone when struck or tapped it exhibits resonance) it can be shattered by using sound waves at that frequency. If it does not exhibit resonance ( a dull thud when flicked) it will require a great deal more sound energy to shatter. Resonance can be affected by liquid in the glass or the composition (good crystal versus everyday thick glasses)