However a lot of fame comes from, I think, path breaking research (and startups) coming out of universities -- that's why you see the universities' names in newspapers. That's why US news ranks those universities as having great departments (in their disciplines of speciality)
So if you want that you by necessity have to value research and entrepreneurship in profs a lot higher than you value teaching.
What one can try and get is good teaching colleges which may not be necessarily famous for research, etc. but are still popular with recruiters for recruitment out of ugrad. The colleges mentioned above do do that. There are other colleges too -- University of Warsaw is a very popular recruitment ground for big tech companies like Google even though it's not on the same level as a top US school for research. University of Waterloo and Brown are a couple of others that come to mind that are popular with recruiters to a bigger extent than their rankings would indicate. Perhaps we need more advertisment of such options.
The other possibility is for prestigious schools to hire more teaching fac. But that would mean taking resources away from research oriented fac. So the market dynamics make it hard to do that.
Ideally universities would have the financial resources to hire both teaching and research oriented fac but given the current political climate...