From http://whatreallyhappened.com/WRHARTICLES/cutter.html:

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There had to be a very good reason for [WTC 7] to be rigged for demolition whilst it was still occupied. Did Silverstein, the new World Trade Center owner who wisely invested in insurance against terrorism, have prior knowledge of the attacks?
One thing is for sure, the decision to 'pull' WTC 7 would have delighted many people:
[WTC 7] contained offices of the FBI, Department of Defense, IRS (which contained prodigious amounts of corporate tax fraud, including Enron’s), US Secret Service, Securities & Exchange Commission (with more stock fraud records), and Citibank’s Salomon Smith Barney, the Mayor’s Office of Emergency Management and many other financial institutions. [Online Journal]

The SEC has not quantified the number of active cases in which substantial files were destroyed [by the collapse of WTC 7]. Reuters news service and the Los Angeles Times published reports estimating them at 3,000 to 4,000. They include the agency's major inquiry into the manner in which investment banks divvied up hot shares of initial public offerings during the high-tech boom. ..."Ongoing investigations at the New York SEC will be dramatically affected because so much of their work is paper-intensive," said Max Berger of New York's Bernstein Litowitz Berger & Grossmann. "This is a disaster for these cases." [New York Lawyer]

Citigroup says some information that the committee is seeking [about WorldCom] was destroyed in the Sept. 11 terror attack on the World Trade Center. Salomon had offices in 7 World Trade Center, one of the buildings that collapsed in the aftermath of the attack. The bank says that back-up tapes of corporate emails from September 1998 through December 2000 were stored at the building and destroyed in the attack. [TheStreet]

Inside [WTC 7 was] the US Secret Service's largest field office with more than 200 employees. ..."All the evidence that we stored at 7 World Trade, in all our cases, went down with the building," according to US Secret Service Special Agent David Curran. [TechTV]

The collapse of WTC 7 also profited Silverstein Properties to the tune of ~$500 million through insurance payments.
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shaman_ has stated:

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I work in IT and can tell you that all companies now have a disaster recover plan. All the full backups are sent offsite regularly. This was a well-established practice even in 2001. Some companies may not have had a plan then, which I find hard very hard to believe...
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If a man in IT finds it hard to believe, surely this warrants an investigation?

shaman_ has also stated:
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...it was still well known then that the critical information can usually be recovered. The data on some hard drives were recovered from the wreckage so collapsing buildings isn’t a perfect way to destroy them anyway. So was the loss of data/paperwork really a major issue for these companies? Was it worth the expense of the completely implausible super conspiracy? Stretches credibility a little don't you think? I'm sure there were better targets nearby which were not targeted.
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The authors of the articles that were cited definitely think it was a major issue. As I've said in the past, leave perfection to the gods. I think most of the people who wanted that information destroyed were fairly satisfied. As to credibility, if you would have told me all of this on the day 9/11 happened I would have probably been stunned. But as time goes on and you learn more, you start to realize that reality is at times stranger then fiction. As to better targets, by all means, elaborate on what you think inside jobbers would consider to be better targets.