At the big slope, you can slide down to kill the Goombas, but watch out because the slide leads right into a pool with a Cheep-Cheep inside.
From this pool, there might seem to be no way to go further, but jump along the right side to reveal hidden blocks which lead you out.
On the next slope, you might want to not slide but instead to stomp one of the Koopa Troopas and take its shell. Use it to take out the red Para-Goomba in the next area, which can be a pain.
Once you see a Piranha Plant overhead, jump at the block directly to its right for a Fire Flower. Jump at the right brick block for a P-Switch, which will make coins appear in this area.
Continue to see another new enemy: Lakitu. He drops spinies at you from above, run quick to avoid these. Right where you see him, jump at the second brick block from the left for a 1-up mushroom.
At the end, jump at the last block for another raccoon leaf. At the goal card, you can try waiting until Lakitu drops four spinies, then collecting the card for a free 1-up.
3-5
As Raccoon Mario, start flying from the pipe to land on a platform made of wooden blocks. Wag your tail against the brick block here for some coins, then resume flying to land on another such platform. Again get some coins from the brick block, then jump into the water and you will have skipped most of the level.
The Frog Suit is of great advantage here. There are Jelectros in this level which are stationary enemies that hurt, and if you don't have the Frog Suit they can be rather annoying.
Drop down to find a new enemy, a Big Bertha. This one will not try to eat you unlike its surface brethren, but instead release small children from its mouth. The first block above it contains a Fire Flower, which you can use to kill it.
If you have the Frog Suit, keep at the bottom. Swim into the second pipe at the ground to get to a bonus area (see below)
After the large pit there's another group of blocks, the middle one contains another Fire Flower. Just after the gray structures, you can find a hidden 1-up mushroom (which is difficult to collect without the Frog Suit).
At the part with the two pipes and the group of Jelectros, you may want to lure the blooper ahead a bit away, otherwise it may hurt you while you try to swim up.
The pipe at the end leads to the ending area. Jump on the wooden platform and from here, run to get the goal card.
Bonus area
Hold to the right to get to a giant ? block, jump at it to get three 1-up mushrooms! Afterwards, exit the area, you'll return at the part with the group of Jelectros.
3-6
This is another autoscrolling level. The first block contains a Fire Flower.
Watch out when you see the first lift. It can screw you over by launching you right down into the pit. Jump after it has spun to get across.
On the first wooden platform, stomp on the Koopa Troopa, take its shell and drop down the donut platform. At the bottom, kick the shell between the brick block and the donut platform to get some coins.
On the second wooden platform, grab the ice brock, drop down, and kick the ice block against the brick block to get a raccoon leaf.
The gaps after the Para-Troopa are quite large and require very precise jumping skills. They're easier if you're Raccoon Mario who can soar.
When you land in the area with three ice blocks, kick one against the brick block to the right to reveal a P-Switch. Step on it to transform the brick blocks into coins. Jump at the single "coin" above you for a 1-up mushroom.
In the ending area, you only need to look for the patrolling Para-Troopa. Afterwards, you can run and grab the goal card.
3-7
Right at your beginning position, bump from the side into the topmost wooden platform for a raccoon leaf.
You'll encounter a new enemy here, Spike. He throws spike balls at you, but you can defeat him like any other enemy.
You should stumble upon a group of brick blocks. Don't touch them, you'll return here later.
At the area with the single Koopa Troopa and three Spikes, bump into the bottom-left wooden block for a Fire Flower. Then, climb to the top and jump to the top-left brick block to reveal a vine. Climb the vine from the nearby green platform, and once up, follow the cloud platforms to the left. The brick block there contains a P-Switch, step on it then run to the left and drop down to return to the group of brick blocks, only that they're all coins now. One of them hides a 1-up mushroom.
After you have climbed the vine, instead of running left, jump onto the wooden block and jump to the right. You'll land on an isolated cloud platform, jump at the middle to uncover a pink note block leading to a Coin Heaven (see below).
Near the end, when climbing the blue structure, watch out for the green Para-Troopa coming your way.
Coin Heaven
This is an autoscroller. Walk to the end, collecting all the coins on the way, to get to a treasure chest. It contains a Jugem's Cloud, you'll then automatically exit the level.
