The newspaper is unique in that news is first organized by order of importance, and then news is filtered and divided into different sections, whereas on the website, the news is scattered, making it for difficult for one to tell the prominence of the story. The website is easier to access, allowing one to go from topic to topic with just one click of the mouse. The videos make news more interesting, and interactive, which is very different from the newspaper. With the newspaper, one can save newspaper clippings as memorabilia or ephemera.
In terms of aesthetic appeal, the website is more convenient, and is in a layout that we are used to using: sections lead to categories which lead to other sections. The newspaper is bulkier, and may leave brown residue on your fingers. The advertising online is more appealing, and it is easier to shop for what you would like as the website is only one click away.
The relationship between NYT and its readers is shown more on the website than it is on the newspaper. The physical newspaper is a one way communication, while the website allows people to comment on news articles, write, share and submit blogs. (http://thelede.blogs.nytimes.com/) The blogs even feature a twitter account, which is constantly updated, which makes the reader feel like they are interacting with the blog poster themselves.
Evidence thatshows web news is more popular: http://www.slate.com/articles/news_and_politics/press_box/2011/08/print_vs_online.html
paper:
more local ads
coupons
mainly black
2nd page provides short summaries of different news/table of contents
has an edition number so it can be archived
Not as many distractions in the paper than in online
web:
videos
blogs
comments
more convenient to find categories
provide suggestions/recent posts
several different listings for jobs, topics written by readers
slate.com print vs.online