Ask for online delivery. Tell them you don't mind online adds that pay for the service. Most of these companies are putting some of the editorial content online - ask them to digitalize the whole issue. That lets you select up to 50 titles for Table of Contents delivery. Circulate these tables of contents and then order only the articles your staff wants.
Staff can scan a table of contents far faster than they can flip through the pages of magazines.
More than 20 thousand magazines are indexed by this service. Anyone can search the database without charge. You can look for magazine articles going back a decade. It will soon allow users to store a search strategy to run against new articles added to the database. Its also adding Non-English Language Journals in Spanish, Italian, German and French.