Below are listed some order Universities

VLSI
University of Arizona, Iowa State University, Michigan State University, University of Utah, Oregon State University, University of Massa. Amherst, Clarkson University, Portland State University (Low rank but good in VLSI)

Telecom/DSP
SMU, University of Texas Dallas, NJIT, Clemson

CS
State University of New York Stony Brook ,Indiana University, University of Utah, Dartmouth College, Temple University

Mechanical
Arizona State University, University of Missouri-Rolla, Clemson, Washington State

Industrial
University of Oklahoma, Oklahoma State University, Wayne State University, University of Houston, State University of New York-Buffalo

Aerospace
University of Colorado, University of Cincinnati, University of Dayton, University of Kansas, University of Alabama-Huntsville

Chemical
Iowa State, University of Delaware, University of Houston, WPI

Material Science
U of Massachusetts at Amherst, University of Arizona, Cincinnati, U Utah, ASU

Petroleum Engg.
Louisiana State, Texas Tech University