I love this game so much. Played it for way too many hours over the years, including a big stretch of just exploring while using the game genie to give me invincibility and super jump. Incredibly good game.
Don't know when I first completed it. Some time in the nineties, I guess. I've completed it several times, over the years, including some time in late 2010--I've got a note in my game journal from 2010-11-14 that I completed the game 'a couple of weeks ago'.
In the Nintendo Players Guide, p. 32, it discusses the self-imposed challenge of beating the game without collecting any coins.
Moons
There are seven 3-Up Moons in the game, one in each world except Star World and the Special Zone:
The Lunar Dragon category requires the player to complete every exit, collecting each of these moons, as well as at least 5 dragon coins on those levels that allow it. Here's a run by mystakin from GDQx 2019.
The levels
World 1: Yoshi's Island
The moon is in Yoshi's Island 1.
Yoshi's House
Yoshi's Island 1
The 3-Up Moon can be reached with a cape. It is located above and to the left of the string of clouds with the 1-Up.
Yoshi's Island 2
Yoshi's Island 3
Yoshi's Island 4
Yellow Switch Palace
#1 Iggy's Castle
World 2: Donut Plains
The moon is in Donut Plains 4.
Donut Plains 1
Secret Exit
Donut Plains 2
Secret Exit
Green Switch Palace
Donut Ghost House
Secret Exit
Top Secret Area
Donut Plains 3
Donut Plains 4
Donut Secret 1
Secret Exit
Donut Secret House
Secret Exit
Donut Secret 2
#2 Morton's Castle
World 3: Vanilla Dome
The moon is in Vanilla Dome 3.
Vanilla Dome 1
Secret Exit
Vanilla Dome 2
Secret Exit
Red Switch Palace
Vanilla Ghost House
Vanilla Dome 3
Vanilla Dome 4
Vanilla Secret 1
Secret Exit
Vanilla Secret 2
Vanilla Secret 3
Vanilla Fortress
#3 Lemmy's Castle
World 4: Twin Bridges
The moon is in Cheese Bridge Area.
Cheese Bridge Area
Exit
Soda Lake
Cookie Mountain
Butter Bridge 1
Butter Bridge 2
#4 Ludwig's Castle
World 5: Forest of Illusion
The moon is in Forest Ghost House.
Forest of Illusion 1
Secret Exit
Forest of Illusion 2
Secret Exit
Forest of Illusion 3
Secret Exit
Forest of Illusion 4
Secret Exit
Blue Switch Place
Forest Ghost House
Secret Exit
Forest Secret Area
Forest Fortress
#5 Roy's Castle
World 6: Chocolate Island
The moon is in Chocolate Island 1.
Chocolate Island 1
Choco-Ghost House
Chocolate Island 2
Secret Exit
Chocolate Island 3
Secret Exit
Chocolate Fortress
Chocolate Island 4
Chocolate Island 5
Chocolate Secret Area
#6 Wendy's Castle
Sunken Ghost Ship
World 7: Valley of Bowser
The moon is in Valley of Bowser 1.
Valley of Bowser 1
Valley of Bowser 2
Secret Exit
Valley Ghost House
Secret Exit
Valley of Bowser 3
Valley of Bowser 4
Secret Exit
Valley Fortress
#7 Larry's Castle
Front Door
Back Door
World 8: Star World
Star World 1
Secret Exit
Star World 2
Secret Exit
Star World 3
Secret Exit
Star World 4
Secret Exit
Star World 5
Secret Exit
World 9: Special Zone
Gnarly
Tubular
Way Cool
Awesome
Mondo
Groovy
Outrageous
Funky