Not sure if these are really considered freebies but like many public library resources, they are often underutilised.
SA Libraries Membership Card required. Other libraries card from other states might work.
Magazines
Zinio
Digital Magazines
Movies and Music
Freegal Music Service
Free access to over 7 million songs, including Sony Music Entertainment’s catalogue of legendary artists. Stream music online or download to your device. Available for other public libraries, see https://www.ozbargain.com.au/node/215049 and http://www.freegalmusic.com/homes/chooser
IndieFlix Online Movies
Watch thousands of award-winning independent films.
Art Films
Content that can entertain, educate and inform: Artfilms is streaming hundreds of exclusive educational videos from top artists and independent producers with unlimited, simultaneous usage.
Beamafilm
Stream your favourite documentaries and indie films.
Learn Languages
Transparent Language Online
Have fun learning another language using these pronunciation, speech, grammar, writing and vocabulary-building lessons.
AMES is English
Learn English from beginner to intermediate level
Computer Skills
LyndaLibrary
Educational video library of engaging, top-quality courses taught by recognised industry experts.
The Computer School
The Computer School
Access an extensive and comprehensive range of computer skills training
Dynamic Learning Online
Simple online training courses for popular computer programs, emails and social networking.
Study Tools
Road to IELTS
General and Academic self-study materials for the International English Language Testing System.
AMES is English: Jobseeking Skills Online
Learn jobseeking skills to find work in Australia. Practise writing a résumé and cover letter. Prepare for the interview and making cold calls to employers.
This thing you call a "library" would that be in other states?