I found my library has a useful service that lists the full-text services that they are subscribed to by discipline; in my case selecting computer science returned the following:
ACM Digital Library
Full text of articles published by ACM in the area of computing and information technology.
IEEE Xplore
Full text of over 100 publications from IEEE and IEE on electronic and electrical engineering.
Inspec
Indexes journals and conference proceedings in electrical engineering, electronics, physics, control engineering, information technology, communications, computers, computing, and manufacturing and production engineering.
Intute: Science, Engineering, & Technology
Index to high quality internet resources which are selected, indexed and described by subject and information specialists. Science, Engineering and Technology part of the Intute service.
Lecture Notes in Computer Science
Series covering new developments in computer science and information technology research and teaching.
MathSciNet (AMS)
Comprehensive database covering the world's mathematical literature since 1940.
SIAM Journals Online
Applied mathematics and computer science journals.
SpringerLink
Full text journals from Springer.
Web of Science
Multidisciplinary database, incorporating ISI Science Citation Expanded®, Social Sciences Citation Index®, and Arts & Humanities Citation Index™. Also offers cited reference searching, enabling users to find out which other articles cite a particular article.