please could you explain to me where is the point of
She is like me.
She is the sameas me.
What exactly are you asking? Do you want someone to contrast the two sentences?
I would say that sentence two is a stronger version of number one.
But again, as always - context is what gives these sentences meaning. If you were to consider both these sentences within two seperate contexts, each one presenting its meaning in relation to the text as a whole (and thereby having its meaning determinded by the text as a whole), sentence one could quite possibly express a stronger sense of likeness than two: if the context allowed it; however I would say, generally, that number two suggests the strongest sense of similarity.