Originally Posted by Wren
https://www.timeshighereducation.co...-worlds-top-30-universities-for-teaching

did you see this?

Harvard, Stanford, Caltech, MIT, Cambridge top 5 according to the rankings
The article is dated 1990... nearly 30 years ago.
The article states that by changing date criteria, 2013-2014 ratings are available... that is still 5 years ago.
2019 rankings here. 2019 rankings by "teaching," top five[/color][/b], top ten:
[b][color:#003300]1. CalTech (USA)
2. Stanford (USA)
3. University of Cambridge (UK)
4. MIT (USA)
5. University of Oxford (UK)
6. Yale (USA)
7. U of Chicago (USA)
8. Harvard (USA)
9. Princeton (USA)
10.Peking University (China)

Clicking through the article's links to view the methodology shows the following:
Originally Posted by Times Higher Education THE World University Rankings, Methodology 2013-2014
...
Our 13 performance indicators are grouped into five areas:

Teaching: the learning environment (worth 30 per cent of the overall ranking score)
Research: volume, income and reputation (worth 30 per cent)
Citations: research influence (worth 30 per cent)
Industry income: innovation (worth 2.5 per cent)
International outlook: staff, students and research (worth 7.5 per cent).

Exclusions

Universities are excluded from the Times Higher Education World University Rankings
if they do not teach undergraduates;
if they teach only a single narrow subject; or
if their research output amounted to fewer than 1,000 articles between 2008 and 2012 (200 a year)
...
If there is a more recent webpage describing their methodology, I have not found it yet.