Read the text block in [Mario's House] to learn about the plot.
Get to the normal exit of [Snowfall].
Get to the normal exit of [Snowy Heights].
Get to the normal exit of [No More Snow?].
Get to the normal exit of [Cold Lake].
Get to the normal exit of [Icy Caverns].
Get to the normal exit of [Go Go Go Mario!].
Get to the normal exit of [The Freezing Manor].
Find the 1up mushroom in [Snowfall].
Find the first 1up mushroom in [Snowy Heights].
Find the 1up mushroom in [Go Go Go Mario!].
Have a Cape and a Flower as your active and reserve items.
As small Mario; complete the first section of [No More Snow?] having collected the coin-block at the center of the rotating platform.
Complete [Icy Caverns] without falling into water. No checkpoint start.
Find the second 1up mushroom in [Snowy Heights].
Find the 1up mushroom in [Go Go Go Mario!] again without exiting to the overworld.
As small Mario; collect 70 coins in [Cold Lake]. Don't let more than 10 seconds pass without collecting a coin.