Hi all,
I'll be in the Master in MS&E at Stanford starting september 2006.
About the minimum criteria: go to the MS&E website: you'll find all the facts (average of the GRE scores, TOEFL scores, GPA) of the admitted students in the previous years.
There is no financial aid in the MS&E master's program at Stanford. (same at Columbia or Northwestern).
Best of luck! :o)