It looks like archive.org was not archiving during the "peak" of that day and only has snapshots from around 8pm that day, but you can see that they pared down the sites considerably even then: https://web.archive.org/web/20010911200318/http://www.cnn.co... Vs A few months prior: https://web.archive.org/web/20010503145728/http://www.cnn.co...
NYTimes is similar: https://web.archive.org/web/20010911205659/http://nytimes.co... https://web.archive.org/web/20010503145505/http://www.nytime...
During the morning and afternoon though, I remember at certain points the NYTimes just having a headline, a picture of the airplane about to hit the second tower, and text and that's it.