To beat 54.6 with fewer deaths, knock enemies down from OUTSIDE the box. Then you can go inside the box losing fewer lives.
Easy way to beat 54.8:
When you get to the blue bomb changer, try to get to the teleporter WITHOUT killing the strawberry. Watch out for other enemies (such as the banana) and lemon drops. Then go down the hole that leads to the pineapple and kill the banana and lemon first, then kill the pineapple. The razor shouldn't bother you.
Then you kill the right strawberry, then the left one ASAP. Kill all the other enemies quickly, and you should finish the level with only one death, if not none.

TT.8 is only possible deathless if the cherry goes right at the start. Otherwise, you can't bomb-jump over the cherry

For TT.11, I use green bombs (middle).
TT.15 is easiest when you kill the pear with a blob.