Honestly speaking, those tour packages that have seven days touring Korea and one day ski are a sham. What can you do in one day of skiing? It's like saying go learn diving in one day. Of course everyone gives up. You are given only 3 hours of lessons in the morning, then in the afternoon you go on the slope on your own, not knowing how to turn or stop properly, thus endangering both yourself and others on the ski slope. It's very irresponsible of the tour operators.
Skiing requires at least five days (three days lessons, two days on your own) to be enjoyable. Furthermore, the best time to go is late Jan - Feb in the Northern Hemisphere, and late July - Aug in the Southern Hemisphere.
I have personally skiied in Switzerland, Austria, Australia, and South Korea. The absolute worst place to ski is South Korea; crowded, bad snow, and it's the most expensive place of all! It was expensive because even though we were there for a week, there is no weekly pass, we had to buy a pass for each day which was very expensive. Hope things have changed now.
Australia comes in second worst; crowded, unreliable snow, but not so expensive. Switzerland is expensive, but has reliable snow and is not crowded, and of course the fantastic scenary. Austria is probably the best; not that expensive, reliable snow, and not crowded because there are so many ski resorts in Austria. And the scenary is almost equal to Switzerland.
I heard USA is also not bad for skiing, e.g. Lake Tahoe area. Canada is not bad too especially if you go up into the rockies; reliable snow and not crowded. Never tried Sapporo yet, though my guess is that it might be very crowded.