Two possible lich banes to choose from. Scales
So i'm proposing to allow us to choose from among two Lich Bane option Lifesteal
One in its current form and one that scales more off of the sheen's base %ad. and less of the % ap.
To complement this I would also let the portion of the damage that scales of ad apply lifesteal (in the same way nidalee q can lifesteal despite doing magic damage).
This would give gunblade more viability particularly if paired with lichbane.
Champions who don't build deathcap don't get nearly as much out of lich bane. And lichbane's stats are build with deathcap in mind. Which reserves lichbane to glasscannon builds at the detriment of the other champions who would benefit from it. Trinity force doesn't have an equivalent ad item to deathcap which is why you don't need two trinity forces to compensate for such an item.
below i added a sort of toggle/slider mechanism to pick your lichbane. First you slide it to confirm which one you want. only then can you buy it. You cannot switch between the two after as the other one will be locked.
I also added a list of champions who could take advantage of lich bane with or without lifesteal. http://i.imgur.com/sQpdeqq.jpg
oops also forgot to add blitz to the list without lifesteal. (which LB might be better if it scaled more on his ad. right now he goes iceborn gauntlet but doesn't necessarily need the slow) base movement speed might be better on blitz too. If he builds the rest tanky he won't have enough ap to make the current lichbane worth while. same can be said of alistar. Like why can irelia go with only trinity force and have enough damage... go only lichbane and people laugh at you.