Total time: 45 minutes
Grease molds, or foil if making free-form lollipops, and set on a rimmed cookie sheet. Place sheet on even work surface.
In a small pot over high heat, bring sugar, 1/2 cup water, honey or maple syrup, and corn syrup to a boil. Cook until mixture reaches 295°, then add food coloring and flavored oil, if using. To test flavor, dip a spoon in boiling mixture, then dunk it in cold water to chill, then taste. Add more flavoring as desired.
Continue cooking until temperature reaches 300°, then transfer to a funnel or measuring cup. Pour into molds or onto foil and insert sticks. Allow to set, about 15 minutes.
Making these requires caution; the hot sugar syrup can cause severe burns. Candy should be made on a cool, dry day or in an air-conditioned kitchen. It's also a good idea to invest in a candy thermometer that clips onto the pot, so you don't have to hold it; look for one at Amazon.com