You encounter a Conkdor almost immediately. By itself it’s not too tough. Fool Conkdors into conking the ground, then jump on the back of their head.
Green Star #1
The first Green Star is to the right of the first Conkdor, on top of a high pillar ledge. You can easily reach this with the Cat Power-Up, and fortunately a ? Block near the ground level provides one if you’re big.
Don’t miss out on the golden pipe atop the structure that’s guarded by two Conkdors on the ground path. Inside, hit the gold P Switch to cause a torrent of Coins to rain down into the bottomless pit. Jump back and forth over the pit to collect as many Coins as possible! Luigi and Peach are naturally better at collecting more Coins from this room thanks to their special jumping abilities.
Make sure you’re dashing at full speed to evade this group of Conkdors while you dash up the ramp. Alternatively, you can try a direct assault with a Cat Power-Up or Fire Flower.
This narrow path is guarded by more Conkdors. Stay calm and concentrate on staying on the path. You can always take out the Conkdors once you’ve avoided their attacks.
Green Star #2
A lone Conkdor is surrounded by four huge blocks that only it can break. The second Green Star is found in one of these blocks.
Next to the Conkdor that helps you find the second Green Star is a sand-fall pouring down a nearby wall. Try climbing it to find a Green + Clock worth 100 game seconds. One of the nearby blocks is actually a ? Box!
Stamp
The Stamp can be found at the foot of a bridge made of swiftly moving platforms. It’s pretty tough to miss, as you’ll have to cross the bridge to escape the level!
Green Star #3
Don’t cross that bridge just yet! Instead, jump into the sand pit to the right of where you found the Stamp. You find Captain Toad locked in a duel with a Conkdor. Save him from the Conkdor, and he rewards you the last Green Star. Now cross the moving bridge to reach the Goal Pole! Levels 2-2 and 2-3 are unlocked.