If by the classic creation story you mean Genesis Chapter 1, that classic creation story has all plants and vegetation created on the 3rd day and the Sun, Moon and Stars created on the 4th day.
Genesis Chapter 1
First day verse 1 thru 5
"1 In the beginning God created the heavens and the earth. 2 Now the earth was formless and empty, darkness was over the surface of the deep, and the Spirit of God was hovering over the waters.
3 And God said, “Let there be light,” and there was light. 4 God saw that the light was good, and he separated the light from the darkness. 5 God called the light “day,” and the darkness he called “night.” And there was evening, and there was morning—the first day."
Second day verse 6 thru 8
"6 And God said, “Let there be a vault between the waters to separate water from water.” 7 So God made the vault and separated the water under the vault from the water above it. And it was so. 8 God called the vault “sky.” And there was evening, and there was morning—the second day."
Third day verse 9 thru 13
"9 And God said, “Let the water under the sky be gathered to one place, and let dry ground appear.” And it was so. 10 God called the dry ground “land,” and the gathered waters he called “seas.” And God saw that it was good.
11 Then God said, “Let the land produce vegetation: seed-bearing plants and trees on the land that bear fruit with seed in it, according to their various kinds.” And it was so. 12 The land produced vegetation: plants bearing seed according to their kinds and trees bearing fruit with seed in it according to their kinds. And God saw that it was good. 13 And there was evening, and there was morning—the third day."
Fourth day 14 thru 19
"14 And God said, “Let there be lights in the vault of the sky to separate the day from the night, and let them serve as signs to mark sacred times, and days and years, 15 and let them be lights in the vault of the sky to give light on the earth.” And it was so. 16 God made two great lights—the greater light to govern the day and the lesser light to govern the night. He also made the stars. 17 God set them in the vault of the sky to give light on the earth, 18 to govern the day and the night, and to separate light from darkness. And God saw that it was good. 19 And there was evening, and there was morning—the fourth day."
Now I'll just quietly step back and out of the way and let you take this in any direction you like in comparing this to science.
I will add just one comment and that is about the events of the Second day of creation. What is being described here fits the make up of earth in the cosmos with what we know today as the "Flat Earth" theory which interestingly enough seems to be making a little bit of a comeback. This image might provide a good visual reference as you read verses 6 thru 8.
Wishing you luck with your "Bible as Science" mission.