There is almost no ski area in North America that can reliably open its double black terrain by January 1st - unless there is an exceptional storm track. Some places come close: WA Cascades, Whistler, Alta/Snowbird, BC, etc.
Most areas can open their exceptionally steep terrain by Feb 1st to 15th. Some (Zermatt, Crested Butte, Telluride, Taos, etc) can take until March 1st or later.
And Some ski areas are prone to just getting skunked for an entire year: Dolomites, Monterosa, Zermatt, St Moritz, La Grave, Southern Rockies, Banff/Kicking Horse, All of South America/NZ/Australia.
So if you want to ski some steeper stuff: ski April vs. December, wait till Feb it, avoid South Facing resorts after mid-March or wait to book/travel when snow falls.
Hence, this site for 2nd guessers.