I'd rather there not be a light up feature just to keep the DC statues all in "visual unison." Batman didn't need a light up Batsignal base, Joker didn't need a light up hand buzzer accessory, and Ivy didn't need some sort of mood lighting base on them, so why should Superman? I don't even think GL is getting a light up base, or if he is then it's kinda acceptable since he's supposed to be otherworldly from the rest of the JLA.
Superman is perfect the way he is now and I'd hate to see changes made to him, especially if they're changes made to get some sort of light up feature working that wouldn't make up for what might be lost.
ummm, eye laser, the others you mentioned don't make sense, only supes and GL can get away with light up feature.