I think your question is too general. For example, there may be institutions that have e.g. a great civil engineering lab while being mediocre at electrical engineering. And the same can be true of subfields of each engineering discipline (for example, I'm in CS, and it's common to see institutions that have a powerful group in one specific area of CS - say computer vision, robotics, NLP, theoretical CS - and aren't anything special in others).

I think you should look at what specific research you want to do and then check what labs are publishing interesting papers on that specific thing.