Freezing point depends on the beverage's alcohol content. The lower the alcohol content, the warmer the freezing point. The higher the alcohol content, the colder the freezing point.
The best-known cider brands labelled typically contain 4.5-4.7 % vol of alcohol.
Beer brands that contain 3-10% ABV freeze at -2°C (28°F) while wines that contain 8-14% ABV freeze at -5°C (23°F).
But cider's in a gray area between beer and wine. By federal law, cider is beer, unless it's above seven percent alcohol by volume. In that case, it's wine.
In the case of beer and wine, the amount of alcohol is quite low, with the rest of the volume consisting of water and solutes (salts, sugars, etc.). Water has a melting point of 0ºC (32ºF). In your home freezer, beer and wine freeze because they are mostly, but not completely, water.
Beer and wine don’t freeze quite as "solid" as just water in your home freezer. So you can make ice cubes out of wine to store leftovers, but when you transfer those wine cubes to a zip-top bag for longer term freezer storage, they might turn into a bit of a sludgy mess in the bag over time.
On the other hand, hard liquors like vodka don’t freeze in your home freezer. If anything, they may appear slightly thicker when you chill them in the freezer. Learn more at TheKitchn.com.