Thought I would add my own answer to this fine list of excellent answers.
Goose is, of course, stronger-flavoured than turkey - more like game but - crucially - quite a bit fattier which makes it essential in my book to look for a wine that has a fair level of acidity. It also tends to be accompanied by powerfully flavoured accompaniments such as chestnuts and red cabbage. Other traditional (and very good) accompaniments are potato or potato and apple stuffing, apples and prunes which can also affect your pairing:
Top quality German or Alsace Grand Cru Riesling
Probably the best match of all if you’re planning an apple or apple and prune stuffing. A dry spätlese Riesling would be ideal, cutting through the fat and providing a subtle touch of sweetness. The drawback is that your guests may well expect a red - but there’s no reason why you can’t serve both.
Gewürztraminer
A bolder choice still for Christmas. Obviously it’s not to everyone’s taste but if you serve a slightly spicy stuffing, especially one that contains dried fruits and/or ginger it would make a great match. Again look for a top quality wine with some intensity from Alsace or New Zealand which is making some great examples.
Pinot Noir
Probably the most likely wine to please your guests and certainly the one to choose if you’re going for red cabbage, sweet potatoes or other richly flavoured veg. I’d choose an example with some sweet, silky fruit rather than big tannins otherwise you may suffer from palate overload .
And some beers to go with goose
Strong Belgian Trappist beers such as Chimay or beers made in that style
These are just as good a match for goose as wine is if truth be told but there are, admittedly, likely to be fewer takers. No harm in having one or two available though. - What to drink with goose
Here is what another site has to say about pairing drinks with goose:
The richness of goose demands a good wine, such as a top red Burgundy. However, it is often served with sweet side dishes, in which case a sweetish German Riesling might be a good option. In the mid-range, you could try a California Pinot Noir, a good red Rhône or an Australian Shiraz. - Pairing Wine with Meat, Game and Poultry
If it is beer your into than here you go:
Dubbel is also great with duck or goose. The rich and earthy flavor of these birds requires a beer with some heft to it and the dense, dried fruit flavor of dubbel recalls the dark berry sauces that are so commonly served with these birds.
Doppelbock offers another riff on this idea, offering strength and dark berry flavors amidst those of caramel, plums, and figs.
Beers to try: For Dubbel, look to the Chimay above, or grab a Rochefort 6 or Ommegang Abbey Ale. For Doppelbock, Ayinger's Celebrator and Weihenstephan's Korbinian are awesome, widely-available choices. - The Serious Eats Guide to Holiday Beer Pairing
As for Vodka, how about trying some Grey Goose Vodka.
