To me, what you've written implies that the 1992 Winter Olympics were the first Games held under the new schedule, which I don't think is correct. Assuming that "1992" is changed to "1994", I prefer "with" because it's more explicit that this was first Games under the new schedule. "From" implies that to me too, but just not quite so crystal-clearly.
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Mr WordyTo me, what you've written implies that the 1992 Winter Olympics were the first Games held under the new schedule, which I don't think is correct.
Assuming that "1992" is changed to "1994", I prefer "with" because it's more explicit that this was first Games under the new schedule. "From" implies that to me too, but just not quite so crystal-clearly.