Complete Dont eat the Waffle
Complete Island Ghost House.
Find 3-UP Moon in Deep Dark Caverns
Collect all Mario Coins in World 1 (see comment)
Collect all Mario Coins in World 2 (see comment)
Complete Lemmys Castle.
Complete Piranha Castle.
Complete Brownie Castle.
Complete Bowser's Volcano #4
Complete FRONT DOOR.
Find Hammer in Piranha Woods.
Find Mario & Luigi Secret Room in Bowser's Volcano #3
Activate all 4 Colour !-Switches
Find 1-UP in Deep Dark Caverns [NOT from green star block]
Find 1-UP in Lake of Dreams.
Get 50 Exits
Collect all Mario Coins in World 3 (see comment)
Collect all Mario Coins in World 4 (see comment)
Find 3-UP Moon in Brownie Hills #1
Find both 3-UP Moons in World 6 (see comment)
Collect 5 Mario Coins in Bowser's Volcano #1
Collect all Mario Coins in World 7 (see comment)