https://www.google.com/transparencyreport/https/grid/
For example, the following are all in the world's top 100 websites and none of them support any form of HTTPS. The link includes quite a few more.
* alibaba.com
* ask.com
* ask.fm
* baidu.com
* cnet.com
* cnn.com
* dailymail.co.uk
* ebay.com
* globo.com
* go.com
* goal.com
* goo.ne.jp
* imdb.com
* live.com
* mirror.co.uk
* naver.jp
* nytimes.com
* onet.pl
* pornhub.com
* telegraph.co.uk
* uol.com.br
* weibo.com
* wikia.com
* wikihow.com
* wp.pl
* yahoo.co.jp
* yelp.com
* youporn.com
New York Times still dosent have HTTPs.
Instead, the burdens are on testing and developing the migration. For example, they'd have to inventory and edit everywhere they use http:// (hardcoding the scheme in your front-end code) instead of //. Furthermore they have to support third-party ad networks deliver active scripts (like javascript) over HTTP. Having HTTP while on HTTPS will create mixed content warning and for active contents browsers will block these violations immediately, thus breaking the website.
To me, the decision of not migrating to HTTPS because of infrastructure capacity is always a myth. Someone has to prove that with data.