Combine the white chocolate chips with 1 teaspoon vegetable oil and heat in the microwave in 20 second increments, stirring between each increment, until melted.
Add the peppermint extract and stir until smooth.
Spread the white chocolate mixture in the prepared pan and place in the refrigerator to chill for 10 to 15 minutes.
When the white chocolate has set, melt the semi-sweet chocolate with the remaining 1 teaspoon vegetable oil in 20 second increments in the microwave, stirring between each increment, until melted.
Spread the semi-sweet chocolate over the top of the hardened white chocolate, then sprinkle the crushed candy canes over the top.
Return the pan to the refrigerator to chill for 10 to 15 minutes, until hardened.
Remove the foil from the pan and break or cut the chocolate into pieces before serving.
Notes
Storage: Store in an airtight container in the refrigerator for up to two weeks with parchment paper between layers.