Lylat's pretty lame. It's too defined by the ledges; that's pretty much all I think about when banning or CPing it. It's symmetric, which is bad, and is even worse than usual since that just doubles the ledges' importance. Though they sometimes seem glitchy with ledgedashing, I don't think it's a problem that they require extra precision to sweetspot (just changing them would actually make the stage even more pointless); the problem is how centralizing they are when deciding whether to go there. Overall, one of the worst stages, IMO.
Can't think of much to make it more than Lips the Stage. Just to implement independent movement (rotation, expansion, extrusion, even removal from the plane of plat) of stage parts (each platform, the "wings", the thrusters, or subdivisions of these) in time with the background action. In particular, a wing's bottom could occasionally move downward to give recoveries more leeway on that side. Not sure things could move in a way that's meaningful without being intrusive, though. The background would probably need to be slower, at least.
I don't get too much time to work out my thoughts, so I dunno about more than one a week.