I have a book called Who Wrote That Song? that often gives good information about the "seminal" recordings of songs. It says that "Winter Wonderland" was published in 1934, with words by Richard B. Smith and music by Felix Bernard. It was popularized by Guy Lombardo and the Royal Canadians, and recorded in 1946 by The Andrews Sisters. Wikipedia has a good page on the song. Wikipedia says the original recording was by Richard Himber and his Hotel Ritz-Carlton Orchestra on RCA Bluebird in 1934.

Here's the 1934 recording of the song by Guy Lombardo, with vocals by The Trio. The record label says the song is from "Ziegfield Follies."

Here's the Andrews Sisters recording, with Guy Lombardo and his Royal Canadians. Can't say I'm familiar with this version at all. Perry Como and Johnny Mercer also had very successful 1946 recordings, and those I am very familiar with.

-Joe-