Mince pies are not that different to Christmas pudding and Christmas cake so you could drink much the same sort of wine with them. But tradition obviously plays a part in terms of what most people expect and they do pair particularly well with fortified wines like port, sherry and madeira
Sherry gets a bad rap for being granny’s tipple of choice but if you’ve never tried an authentic Spanish style sweet sherry you haven’t lived.
No visit to Tuscany is complete without a glass of Vin Santo or ‘holy wine’, a (usually) sweet wine that is served at the end of the meal, almost always with hard little ‘cantucci’ biscuits.
We rarely think of tawny port as a flexible partner for food. We serve it with stilton, obviously and with hard cheeses like cheddar, with nuts and dried fruits and over Christmas with fruit cake and mince pies but that’s usually as far as it goes.