Cleaning Shower Doors
The two items that accumulate on shower doors are soap scum and hard water deposits.

Soap Scum
Cleanser is a great way to get rid of soap scum. If the soap buildup is really bad, you may need to scrape what you can off first. You could use a plastic putty knife to scrape the soap scum.
Another option is to use a strong acidic product like The Works that is available at Shopko. Put the acidic product on the soap scum for several hours before scrubbing off. A good scrub brush can be a very valuable tool for this job.
Ideally, the shower can be wiped down with a squeegee after each use. This will dramatically keep the soap scum down.
Hard Water
Lime Away or Calcium Lime and Rust are excellent products to take off hard water deposits.
Manufacturer
If possible, check with manufacturer to get the recommended product to clean your shower doors.

