This article is from the Amiga CD32 FAQ, by Stuart Tomlinson with numerous contributions by others.
A: If you have a SCSI CD drive then you can assign CD0: to the CD drive (if it isn't already), assign the standard directories (C:, DEVS:, ENVARC:, FONTS:, L:, LIBS:, S:, SYS:) across to the CD-ROM and execute S:Startup-Sequence.
A: If you have a Parnet or Sernet link to a CD32 or CDTV, you can assign CD0: to NET:CD0, assign the CD-ROM's name to NET:<name>, assign the standard directories, then execute S:Startup-Sequence. It's slow though, so if you have a big hard drive, it's probably better to go for the next option...
A: It should be possible to copy all of the CD-ROM to your hard drive by using a Parnet, Sernet, or Twin Express link to a CD32 or CDTV, assign CD0: and the CD-ROM's name to the directory that you copied to, assign the standard directories to the equivalent place on the hard drive, and execute S:Startup-Sequence.
A: The game may have an icon to double click to run it. In that case you don't need to assign or execute anything.
A: There's a program called Cache-CDFS that's distributed in Germany. It works on the A1200 or A4000. It sits between the CD32 game and the Amiga's SCSI, IDE, or PCMCIA CD-ROM drive. Most CD32 games should work once it's installed, but there have been some problems reported with NEC 3x CD drives. It's commercial. Nobody's said how good the emulation is. You can contact the author, Oliver Kastl, by Email. Oliver's Email address is firstname.lastname@example.org.
Almathera are selling a bug-fixed and English language version. Video Creator will also work once it's been installed.
A: There's another available, called CD-Boot. This works on the A1200 or A4000. It sits between the CD32 game and Amiga's SCSI, IDE, or PCMCIA CD-ROM drive. You can create config files for each CD. It's commercial. One person said that the success rate was 2 out of 7 games. You can contact the author, Thomas Kessler, by Email. Thomas' Email address is email@example.com.
A: This is a quick description made after reading Asimware's info sheet (it's probably better to read the full thing for yourself if you're interested before making up your mind):
Asimware's AsimCDFS can emulate CDTVs and CD32s, but the how good it is depends on the individual machine. But it also has a music CD player, music CD support (so the music looks like AIFF, MAUD, and RAW files), and Photo CD support (so the pictures look like normal IFF ILBM files).