There's no sound for some reason. I just used the movie-dumping feature in ZSNES. I didn't put too much thought into it, so it's a little mediocre, but I kinda like it.
0:11 - I like the idea of the Vine wall. However, you might want to make some Extragraphics to add a wall behind the vines, suppressing the need of the Grey Cement block.
0:48 - There, you might want to use custom y-flipped Ledge blocks that act like the Grey Cement Block to use as ceiling.
0:29/0:36 - The Edge at the left... it doesn't make it feel natural that you can't pass through from the right. You might want to put another ledge facing to the right next to it...
Overall: This level is suitable for the second world, from what I can see. You use too many Grey Cement Block, thought. Try reducing their appearance by replacing them with other kinda of blocks. The second half of the level is too short.
Other than that it's pretty good. But I think it needs some more enemies (not a crapload of them, but just a little more.)