I see a lot of people complaining about links to sites like the New York Times that restrict access to subscribers. Most such sites are trying to attract new subscribers so they offer limited access and the ability to read a few articles for free. There are a few that restrict all access to subscribers only and there isn't any way to get around that. However, for those offering limited access there is an easy and convenient solution without shelling out money. It is called an incognito window. All the major browsers offer it as an option.
The way that sites tell who has exceeded their limit of free articles is by using cookies when you visit the site. When you load a link in an incognito window you are starting over from scratch every time you visit the site.
It is also known as privacy mode browsing. It also doesn't leave a record of your visit in your search history. In Google Chrom, and I think most other browsers, all you have to do is right click the link and then select open in incognito window. You then have two browser windows open.