It's difficult to choose, because Tchaikovsky wrote some brilliant works. It depends on what type of work you're thinking of - there's orchestral, concertos, solo works, chamber works, operas, Ballet, etc.
You should listen to Tchaikovsky's music for yourself and decide which piece you prefer as everyone has their own preferences. He has many compositions to choose from. See the related link for a full list.
Nutcracker
Ludwig van Beethoven
How did Tchaikovsky raise ballet music to a new level?
The Sugar Plum Fairy From the Nutcracker Suite written in 1891-92 by Pyotr IIyich Tchaikovsky.
The piece was written by Pyotr Tchaikovsky.
Tchaikovsky's Romeo and Juliet
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Music
As a child before he had any musical training Tchaikovsky wrote little pieces. His first published work was Two Pieces for piano (1867). Opus 1,Scherzo à la russeImpromptu
Music librarian
That would be Russian classical music.
Tchaikovsky raised ballet music to a new level with lyrical melodies and rich orchestration.